It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 500 238 is not a prime number.
For example, 500 238 can be divided by 2: 500 238 / 2 = 250 119.
For 500 238 to be a prime number, it would have been required that 500 238 has only two divisors, i.e., itself and 1.
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500 238 is an even number, because it is evenly divisible by 2: 500 238 / 2 = 250 119.
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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 500 238 is about 707.275.
Thus, the square root of 500 238 is not an integer, and therefore 500 238 is not a square number.
The square of a number (here 500 238) is the result of the product of this number (500 238) by itself (i.e., 500 238 × 500 238); the square of 500 238 is sometimes called "raising 500 238 to the power 2", or "500 238 squared".
The square of 500 238 is 250 238 056 644 because 500 238 × 500 238 = 500 2382 = 250 238 056 644.
As a consequence, 500 238 is the square root of 250 238 056 644.
The multiples of 500 238 are all integers evenly divisible by 500 238, that is all numbers such that the remainder of the division by 500 238 is zero. There are infinitely many multiples of 500 238. The smallest multiples of 500 238 are: