It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 509 474 is not a prime number.
For example, 509 474 can be divided by 2: 509 474 / 2 = 254 737.
For 509 474 to be a prime number, it would have been required that 509 474 has only two divisors, i.e., itself and 1.
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509 474 is an even number, because it is evenly divisible by 2: 509 474 / 2 = 254 737.
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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 509 474 is about 713.774.
Thus, the square root of 509 474 is not an integer, and therefore 509 474 is not a square number.
The square of a number (here 509 474) is the result of the product of this number (509 474) by itself (i.e., 509 474 × 509 474); the square of 509 474 is sometimes called "raising 509 474 to the power 2", or "509 474 squared".
The square of 509 474 is 259 563 756 676 because 509 474 × 509 474 = 509 4742 = 259 563 756 676.
As a consequence, 509 474 is the square root of 259 563 756 676.
The multiples of 509 474 are all integers evenly divisible by 509 474, that is all numbers such that the remainder of the division by 509 474 is zero. There are infinitely many multiples of 509 474. The smallest multiples of 509 474 are: