Couldn't tell you because there are 450w PSUs and then there are box shaped pieces of garbage with a wattage number printed on them.
Any half decent 450w unit will be plenty for the 8350, but we have no idea if it will be plenty for your GPU as well.
Also I would highly advise against the 8350 in general.
Back in 2012-2013 these where decent cpu's for people who needed core/thread count or where on a budget.
Fast forward to 2016 and these chips (still the same) are significantly less efficient then their intel counterparts, even with less cores/clock speed.
If you are paying money for new parts, I would not advise spending it on 4 year old technology.