It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 409 508 is not a prime number.
For example, 409 508 can be divided by 2: 409 508 / 2 = 204 754.
For 409 508 to be a prime number, it would have been required that 409 508 has only two divisors, i.e., itself and 1.
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409 508 is an even number, because it is evenly divisible by 2: 409 508 / 2 = 204 754.
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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 409 508 is about 639.928.
Thus, the square root of 409 508 is not an integer, and therefore 409 508 is not a square number.
The square of a number (here 409 508) is the result of the product of this number (409 508) by itself (i.e., 409 508 × 409 508); the square of 409 508 is sometimes called "raising 409 508 to the power 2", or "409 508 squared".
The square of 409 508 is 167 696 802 064 because 409 508 × 409 508 = 409 5082 = 167 696 802 064.
As a consequence, 409 508 is the square root of 167 696 802 064.
The multiples of 409 508 are all integers evenly divisible by 409 508, that is all numbers such that the remainder of the division by 409 508 is zero. There are infinitely many multiples of 409 508. The smallest multiples of 409 508 are: