It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 402 564 is not a prime number.
For example, 402 564 can be divided by 2: 402 564 / 2 = 201 282.
For 402 564 to be a prime number, it would have been required that 402 564 has only two divisors, i.e., itself and 1.
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402 564 is an even number, because it is evenly divisible by 2: 402 564 / 2 = 201 282.
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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 402 564 is about 634.479.
Thus, the square root of 402 564 is not an integer, and therefore 402 564 is not a square number.
The square of a number (here 402 564) is the result of the product of this number (402 564) by itself (i.e., 402 564 × 402 564); the square of 402 564 is sometimes called "raising 402 564 to the power 2", or "402 564 squared".
The square of 402 564 is 162 057 774 096 because 402 564 × 402 564 = 402 5642 = 162 057 774 096.
As a consequence, 402 564 is the square root of 162 057 774 096.
The multiples of 402 564 are all integers evenly divisible by 402 564, that is all numbers such that the remainder of the division by 402 564 is zero. There are infinitely many multiples of 402 564. The smallest multiples of 402 564 are: