It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 502 238 is not a prime number.
For example, 502 238 can be divided by 2: 502 238 / 2 = 251 119.
For 502 238 to be a prime number, it would have been required that 502 238 has only two divisors, i.e., itself and 1.
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502 238 is an even number, because it is evenly divisible by 2: 502 238 / 2 = 251 119.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 502 238 is about 708.688.
Thus, the square root of 502 238 is not an integer, and therefore 502 238 is not a square number.
The square of a number (here 502 238) is the result of the product of this number (502 238) by itself (i.e., 502 238 × 502 238); the square of 502 238 is sometimes called "raising 502 238 to the power 2", or "502 238 squared".
The square of 502 238 is 252 243 008 644 because 502 238 × 502 238 = 502 2382 = 252 243 008 644.
As a consequence, 502 238 is the square root of 252 243 008 644.
The multiples of 502 238 are all integers evenly divisible by 502 238, that is all numbers such that the remainder of the division by 502 238 is zero. There are infinitely many multiples of 502 238. The smallest multiples of 502 238 are: