I don't know for a fact, I could never find any data on the PS605 fuse (sony part, not available to consumers - no datasheet to be found) so I had to trust forum posts on it - someone allegedly measured it to be 400mA and when they replaced it with a 400mA fuse it worked without breaking.
the CCP2E15 fuses found in later units are however very easy to find data on [see datasheet linked in my original post]
I'd personally just stick a CCP2E15 in there, they're cheap enough at less than $4 for a pack of 10 fuses. (39 cents per fuse + shipping)
Here's a seller that's more likely to deal with consumers (industrial wholesale isn't perhaps the best option)
10 fuses
Although it's more economic to buy 50 or 100 pieces (12 cents per fuse and 8 cents per fuse respectively), esp. since the shipping rate is the exact same as the 10 fuse option!
50 fuses
100 fuses
I'd provide ebay links instead of aliexpress links but I couldn't find any ebay sellers who currently stock CCP2E15 fuses, aliexpress is nice enough - same concept as ebay, although I can't guarantee any seller (even the ones I've had experience with in the past but this holds true for ebay as well).
Now, what fuse to use depends on what's printed on the dead fuse.
if it says "15" on it, then it's CCP2E15 fuse.
if it says PS605, 0.4, 0.7, 0.5, 1.5 or some other nonsense it's a PS605 which is either 400mA or 1A
If you think that it's a 1A fuse as shadow seems to think, then I might recommend the CCP2E10 fuse as it breaks on 1A
10 fuses
50 fuses
100 fuses
And if you think it's a 400mA fuse (I have no credible citation for this, I'd go with the CCP2E15 or CCP2E10) then I have no recommendation aside from ghetto-hacking it with a 400mA fuse like in the picture I inlined prior (I don't recommend this, it looks unprofessional and could potentially be a fire hazard depending on the fuse you pick).
anti-lawsuit legal blurb (I am not a lawyer, probably has loopholes - please don't sue me):
NOTE: I cannot guarantee that the CCP2E15 fuse is actually safe to replace the PS605 with, if the PS605 is actually 400mA then this 1.5A fuse may allow a destructive current through - in no event will I be held liable if you install a CCP2E15 fuse instead of a PS605 fuse, nor in the event of installing any other fuse advised by me directly or otherwise.
EDIT NOTE: Oh yes, any of my advice assumes you have the skill required to solder a surface mount component, it isn't much harder than soldering a through hole component - it just requires that you have reasonably steady hands and either a loupe or reasonably good eyesight.
EDIT NOTE 2: Oh yes, I can't really give any guarantees on how well the CCP2Exx fuses from china perform as compared to the Japanese ones found in original SONY products, they SHOULD work well enough but YMMV, see above note on me not being liable for any damages incurred, accidental or otherwise.
the manufacturer might be but it's probably hard to sue them.
EDIT NOTE 3:
Here's a Japanese seller
I doubt you can read the page and even if you could you'd have to have a proxy in Japan to receive the package and ship it back to you (which is doable, if you know the right people or know where to look), the nice part about these is that they're the ones actually used by SONY... (MOQ 円40/2000PC which is probably above what a normal consumer would need to have or want to pay, I mean that's like ~800 dollars (on the bright side... 2000 high end surface mount fuses!)) (EDIT UPDATE: Well... they might actually ship internationally, given that it's industrial supplies...)
) 