If you can afford a 1050Ti, get it over the 460. It offers better performance. Also, you don't need a CPU cooler. The stock Intel cooler than comes with the i3 will do just fine. Your case is an ATX mid-tower case, while your motherboard's form factor is Micro ATX. This will work, but the case is unnecessarily large.
Unfortunately, for $500 it's very difficult to make a good investment. The parts which offer the best price/performance are just a bit over your price range: a 470 will cost around $160 on sale, and an i5 processor around $170. A decent SSD will be another $65.
If you can, I strongly encourage you to save up even another $100 so you can afford more powerful components. You will not regret it.
That being said, if you cannot spend any more money, this should be a bit better:
PCPartPicker part list / Price breakdown by merchant
| Type | Item | Price |
|---|---|---|
| CPU | Intel Core i3-6300 3.8GHz Dual-Core Processor | $129.99 @ Directron |
| Motherboard | Gigabyte GA-H110M-A Micro ATX LGA1151 Motherboard | $53.88 @ OutletPC |
| Memory | Crucial 8GB (2 x 4GB) DDR4-2133 Memory | $38.99 @ Newegg |
| Storage | A-Data Premier SP550 240GB 2.5" Solid State Drive | $59.99 @ NCIX US |
| Video Card | MSI GeForce GTX 1050 Ti 4GB Video Card | $139.99 @ B&H |
| Case | Corsair Carbide Series 88R MicroATX Mid Tower Case | $39.99 @ Newegg |
| Power Supply | Corsair CSM 550W 80+ Gold Certified Semi-Modular ATX Power Supply | $39.99 @ Newegg |
| Prices include shipping, taxes, rebates, and discounts | ||
| Total (before mail-in rebates) | $532.82 | |
| Mail-in rebates | -$30.00 | |
| Total | $502.82 | |
| Generated by PCPartPicker 2016-11-06 21:08 EST-0500 |
I've given you an SSD instead of a HDD. This will give you faster boot and application launch times. You can buy and install an HDD at your convenience at a later time. I've also given you a 1050Ti instead of the RX 460, and chosen a cheaper, smaller case to make this all fit the budget.