It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 409 402 is not a prime number.
For example, 409 402 can be divided by 2: 409 402 / 2 = 204 701.
For 409 402 to be a prime number, it would have been required that 409 402 has only two divisors, i.e., itself and 1.
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409 402 is an even number, because it is evenly divisible by 2: 409 402 / 2 = 204 701.
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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 409 402 is about 639.845.
Thus, the square root of 409 402 is not an integer, and therefore 409 402 is not a square number.
The square of a number (here 409 402) is the result of the product of this number (409 402) by itself (i.e., 409 402 × 409 402); the square of 409 402 is sometimes called "raising 409 402 to the power 2", or "409 402 squared".
The square of 409 402 is 167 609 997 604 because 409 402 × 409 402 = 409 4022 = 167 609 997 604.
As a consequence, 409 402 is the square root of 167 609 997 604.
The multiples of 409 402 are all integers evenly divisible by 409 402, that is all numbers such that the remainder of the division by 409 402 is zero. There are infinitely many multiples of 409 402. The smallest multiples of 409 402 are: