I would upgrade to the R7 260X, this version has more unified shaders (R7 250 is 384:24:8 and R7 260X is 896:56:16) for a reasonable price difference (R7 260X: US$ 109.99 and R7 250: US$ 79.99) and more 40 Watts of TDP , but comparing to the HD 6450, the R7 260X is newer and have much more performance, compare yourself:
Model: Radeon HD 6450
Release Date: Apr 7, 2011
Codename: Caicos
Manufacturing Process: 40 nm
Transistors: 370 Million
Die Size: 67 mm²
Bus Interface: PCI-e 2.1 ×16
Core Clock Rate: 625 MHz, 750 MHz | Memory Clock Rate: 800 MHz, 900 MHz or 1600 MT/s, 1800 MT/s
Core Config: 160 Unified Shaders:8 Texture Mapping Units:4 Render Output Units
Pixel Fillrate: 2.5 GP/s, 3.0 GP/s/ | Texture Fillrate: 5.0 GP/s, 6.0 GP/s
Memory Size: 512 MB, 1024 MB, 2048 MB
Memory Bandwidth: 12.8 GB/s, 14.4 GB/s
Memory Bus Type: DDR3
Memory Bus Width: 64 bit
Processing Power - Single Precision: 200 GFLOPS, 240 GFLOPS
Processing Power - Double Precision: No
Thermal design power: 9 Watts (Idle) | 18 Watts, 27 Watts (Max.)
DirectX Version: 11.0
OpenGL Version: 4.1
OpenCL Version: 1.2
Model: Radeon R7 260X
Release Date: Oct 8, 2013
Codename: Bonaire XTX
Manufacturing Process: 28 nm
Transistors: 2080 Million
Die Size: 160 mm²
Bus Interface: PCI-e 3.0 ×16
Core Clock Rate: 1100 MHz | Memory Clock Rate: 6500 MT/s or 1625 MHz
Core Config: 896 Unified Shaders:56 Texture Mapping Units:16 Render Output Units
Pixel Fillrate: 17.6 GP/s/ | Texture Fillrate: 61.6 GP/s
Memory Size: 1024 MB, 2048 MB
Memory Bandwidth: 104 GB/s
Memory Bus Type: GDDR5
Memory Bus Width: 128 bit
Processing Power - Single Precision: 1971.2 GFLOPS
Processing Power - Double Precision: 123.2 GFLOPS
Thermal design power: 115 Watts
DirectX Version: 12.0
OpenGL Version: 4.4
OpenCL Version: 2.0
You also should check your power supply and see if it will handle. Because the HD 6450 has a low TDP (19 Watts or 27 Watts) and doesn't demand too much from the PSU. The R7 260X is considered an old GPU (2013), because AMD has launched the R7 265 and the R7 360 respectively, but the R7 360 has the same price range, but even being newer, has less performance than the R7 260X, while the R7 265 has more performance and is a little more expensive than the R7 260X.
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