It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 408 009 is not a prime number.
For example, 408 009 can be divided by 3: 408 009 / 3 = 136 003.
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For 408 009 to be a prime number, it would have been required that 408 009 has only two divisors, i.e., itself and 1.
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408 009 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 408 009 is about 638.756.
Thus, the square root of 408 009 is not an integer, and therefore 408 009 is not a square number.
The square of a number (here 408 009) is the result of the product of this number (408 009) by itself (i.e., 408 009 × 408 009); the square of 408 009 is sometimes called "raising 408 009 to the power 2", or "408 009 squared".
The square of 408 009 is 166 471 344 081 because 408 009 × 408 009 = 408 0092 = 166 471 344 081.
As a consequence, 408 009 is the square root of 166 471 344 081.
The multiples of 408 009 are all integers evenly divisible by 408 009, that is all numbers such that the remainder of the division by 408 009 is zero. There are infinitely many multiples of 408 009. The smallest multiples of 408 009 are: