Well, it's not a -super- low power build. The GTX 470 is a pretty power hungry card overall at about 220w draw. The Phenom 965 is also a 100w CPU. Add in some overhead and you could be around 400w draw if everything is full tilt. If you have a -good- 500w PSU, you'll be ok, even though the PSU will be on the downslope of your average efficiency curve.
If you have a no-name PSU, I wouldn't hold my breath that it would last a long and healthy life. If you have a no-name PSU, I'd start looking into getting a good brand PSU, and up the power to a 600w supply so you're in the sweet spot of the power efficiency curve.