Hello,
I have 2 470 rigs, the first with 4x 470 8Gb use a 1000W corsair gold, the second with 4x 470 4Gb uses a 850W corsair platinium.
Roughly, with ZEC, you can make your cards use 90ish Watts when undervolted (not talking gpuz numbers, but at wall), so in theory, a 600W supply should be able to run four of these with a basic system. However, I would not got less than 850W.
850W should be fine with 4x 470s