Here is a review of your unit: http://www.hardwaresecrets.com/antec-vp450-power-supply-review/
I would maybe not actually run the GTX 970 on it, and here is why. First thing you need to understand is a rail. This unit has two 12V rails. A rail is just a group of wires linked to an overcurrent protection. Overcurrent protection is managed by a chip in the power supply, and what it does it detects if too much current is being drawn from that group of wires (whether it be a ton by one wire or an equal distribution across a bunch), and it'll then shut down the power supply. Each rail in this unit is rated for 18 amps or 216W.
One rail in this unit solely powers the CPU. The other rail powers
everything else, including the GPU, the HDD, fans, motherboard, etc. That is insufficient for this GPU, and I suspect that if you overclock the GTX 970 more or if you run an actual stress test, your unit will shut down. a GTX 970 under stress can draw 250W+. Temperature plays a role, too; as temperature inside the unit increases, the ability for each rail to create more current decreases. In addition, if you have Rails A, B, C, and D, when there is load on B, C, and D, the potential for rail A decreases, so that is even
less current that can be created for those wires.
According to this review, the unit seems to shut off after drawing 264W from one of the 12V rails, so you may actually be alright now that I think about it. Usually the overcurrent protection kicks in later than what that rail is actually rated for. Seeing as this unit has its protections all working, actually, I'd say you are safe to use it.