It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 408 008 is not a prime number.
For example, 408 008 can be divided by 2: 408 008 / 2 = 204 004.
For 408 008 to be a prime number, it would have been required that 408 008 has only two divisors, i.e., itself and 1.
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408 008 is an even number, because it is evenly divisible by 2: 408 008 / 2 = 204 004.
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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 408 008 is about 638.755.
Thus, the square root of 408 008 is not an integer, and therefore 408 008 is not a square number.
The square of a number (here 408 008) is the result of the product of this number (408 008) by itself (i.e., 408 008 × 408 008); the square of 408 008 is sometimes called "raising 408 008 to the power 2", or "408 008 squared".
The square of 408 008 is 166 470 528 064 because 408 008 × 408 008 = 408 0082 = 166 470 528 064.
As a consequence, 408 008 is the square root of 166 470 528 064.
The multiples of 408 008 are all integers evenly divisible by 408 008, that is all numbers such that the remainder of the division by 408 008 is zero. There are infinitely many multiples of 408 008. The smallest multiples of 408 008 are: