It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 408 398 is not a prime number.
For example, 408 398 can be divided by 2: 408 398 / 2 = 204 199.
For 408 398 to be a prime number, it would have been required that 408 398 has only two divisors, i.e., itself and 1.
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408 398 is an even number, because it is evenly divisible by 2: 408 398 / 2 = 204 199.
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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 408 398 is about 639.060.
Thus, the square root of 408 398 is not an integer, and therefore 408 398 is not a square number.
The square of a number (here 408 398) is the result of the product of this number (408 398) by itself (i.e., 408 398 × 408 398); the square of 408 398 is sometimes called "raising 408 398 to the power 2", or "408 398 squared".
The square of 408 398 is 166 788 926 404 because 408 398 × 408 398 = 408 3982 = 166 788 926 404.
As a consequence, 408 398 is the square root of 166 788 926 404.
The multiples of 408 398 are all integers evenly divisible by 408 398, that is all numbers such that the remainder of the division by 408 398 is zero. There are infinitely many multiples of 408 398. The smallest multiples of 408 398 are: