How many distinct prime factors does the sum of the positive divisors of $400$ have?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many distinct prime factors does the sum of the positive divisors of $400$ have?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
How many distinct prime factors does the sum of the positive divisors of $400$ have?
train