It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 408 509 is not a prime number.
For example, 408 509 can be divided by 79: 408 509 / 79 = 5 171.
For 408 509 to be a prime number, it would have been required that 408 509 has only two divisors, i.e., itself and 1.
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408 509 is an odd number, because it is not evenly divisible by 2.
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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 408 509 is about 639.147.
Thus, the square root of 408 509 is not an integer, and therefore 408 509 is not a square number.
The square of a number (here 408 509) is the result of the product of this number (408 509) by itself (i.e., 408 509 × 408 509); the square of 408 509 is sometimes called "raising 408 509 to the power 2", or "408 509 squared".
The square of 408 509 is 166 879 603 081 because 408 509 × 408 509 = 408 5092 = 166 879 603 081.
As a consequence, 408 509 is the square root of 166 879 603 081.
The multiples of 408 509 are all integers evenly divisible by 408 509, that is all numbers such that the remainder of the division by 408 509 is zero. There are infinitely many multiples of 408 509. The smallest multiples of 408 509 are: