What's the PSU make & model, and what's the rest of your rig (particularly CPU). Will you be overclocking either CPU or GPU?
One more question, is this a new purchase, or do you already have the 600W and you're wondering whether it's enough?
With an Intel CPU at stock and a good quality 600W unit, you're okay with a 390x. But if it's a cheaper/lower quality PSU, AMD CPU, or you're intersted in OCing, things get tighter.