There's no single answer to how much horsepower a 5.2L V8 has. The horsepower output depends entirely on the *specific engine* and its application. Different manufacturers, and even different versions of the same engine from the same manufacturer, will have varying horsepower ratings due to differences in design, tuning, and forced induction (turbochargers or superchargers).
A naturally aspirated (non-turbocharged/supercharged) 5.2L V8 might produce anywhere from 300 to 450 horsepower, while a forced induction version could easily exceed 500 horsepower or more. You need to specify the *make, model, and year* of the vehicle (or the specific engine designation) to get an accurate horsepower figure.