It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 504 484 is not a prime number.
For example, 504 484 can be divided by 2: 504 484 / 2 = 252 242.
For 504 484 to be a prime number, it would have been required that 504 484 has only two divisors, i.e., itself and 1.
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504 484 is an even number, because it is evenly divisible by 2: 504 484 / 2 = 252 242.
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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 504 484 is about 710.270.
Thus, the square root of 504 484 is not an integer, and therefore 504 484 is not a square number.
The square of a number (here 504 484) is the result of the product of this number (504 484) by itself (i.e., 504 484 × 504 484); the square of 504 484 is sometimes called "raising 504 484 to the power 2", or "504 484 squared".
The square of 504 484 is 254 504 106 256 because 504 484 × 504 484 = 504 4842 = 254 504 106 256.
As a consequence, 504 484 is the square root of 254 504 106 256.
The multiples of 504 484 are all integers evenly divisible by 504 484, that is all numbers such that the remainder of the division by 504 484 is zero. There are infinitely many multiples of 504 484. The smallest multiples of 504 484 are: