It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 338 is not a prime number.
For example, 504 338 can be divided by 2: 504 338 / 2 = 252 169.
For 504 338 to be a prime number, it would have been required that 504 338 has only two divisors, i.e., itself and 1.
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504 338 is an even number, because it is evenly divisible by 2: 504 338 / 2 = 252 169.
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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 504 338 is about 710.168.
Thus, the square root of 504 338 is not an integer, and therefore 504 338 is not a square number.
The square of a number (here 504 338) is the result of the product of this number (504 338) by itself (i.e., 504 338 × 504 338); the square of 504 338 is sometimes called "raising 504 338 to the power 2", or "504 338 squared".
The square of 504 338 is 254 356 818 244 because 504 338 × 504 338 = 504 3382 = 254 356 818 244.
As a consequence, 504 338 is the square root of 254 356 818 244.
The multiples of 504 338 are all integers evenly divisible by 504 338, that is all numbers such that the remainder of the division by 504 338 is zero. There are infinitely many multiples of 504 338. The smallest multiples of 504 338 are: