Is this a good budget gaming PC for under 600$

Vic 40

Titan
Ambassador
I think i would save a little,for a little more do you get a r9 270 and a imo better mortherboard,

PCPartPicker part list

CPU: AMD Athlon X4 760K 3.8GHz Quad-Core Processor ($84.73 @ OutletPC)
Motherboard: ASRock FM2A88X Extreme4+ ATX FM2+ Motherboard ($78.98 @ Newegg)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-2133 Memory ($69.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($52.91 @ OutletPC)
Video Card: PowerColor Radeon R9 270 2GB TurboDuo Video Card ($139.20 @ Newegg)
Case: NZXT Source 210 (Black) ATX Mid Tower Case ($29.99 @ Newegg)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($34.99 @ NCIX US)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($14.99 @ Newegg)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($89.98 @ OutletPC)
Wireless Network Adapter: TP-Link TL-WN822N 802.11b/g/n USB 2.0 Wi-Fi Adapter ($18.25 @ Amazon)
Case Fan: Arctic Cooling Arctic F12 74.0 CFM 120mm Fan ($3.56 @ NCIX US)
Total: $617.57
Prices include shipping, taxes, and discounts when available

or intel,

PCPartPicker part list / Price breakdown by merchant

CPU: Intel Pentium G3258 3.2GHz Dual-Core Processor ($69.99 @ NCIX US)
Motherboard: MSI Z97 PC MATE ATX LGA1150 Motherboard ($69.99 @ Newegg)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-2133 Memory ($69.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($52.91 @ OutletPC)
Video Card: PowerColor Radeon R9 270 2GB TurboDuo Video Card ($139.20 @ Newegg)
Case: NZXT Source 210 (Black) ATX Mid Tower Case ($29.99 @ Newegg)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($34.99 @ NCIX US)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer ($14.99 @ Newegg)
Operating System: Microsoft Windows 8.1 (OEM) (64-bit) ($89.98 @ OutletPC)
Wireless Network Adapter: TP-Link TL-WN822N 802.11b/g/n USB 2.0 Wi-Fi Adapter ($18.25 @ Amazon)
Case Fan: Arctic Cooling Arctic F12 74.0 CFM 120mm Fan ($3.56 @ NCIX US)
Total: $593.84
Prices include shipping, taxes, and discounts when available

this last one you also can overclock.Look for reviews about that cpu,it's really good (price/performance) and this build is under budget.
The 200R will get you just over budget with this last build,
http://pcpartpicker.com/part/corsair-case-200r
or one i like,
http://pcpartpicker.com/part/corsair-case-spec01redled
comes with one fan so,
http://pcpartpicker.com/part/cooler-master-case-fan-r4l2r20arr1
just don't know how it will look with al that red (fans/ram) and the blue motherboard through the window.It also has a height restriction on cpu coolers=157mm max.