It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 415 402 is not a prime number.
For example, 415 402 can be divided by 2: 415 402 / 2 = 207 701.
For 415 402 to be a prime number, it would have been required that 415 402 has only two divisors, i.e., itself and 1.
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415 402 is an even number, because it is evenly divisible by 2: 415 402 / 2 = 207 701.
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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 415 402 is about 644.517.
Thus, the square root of 415 402 is not an integer, and therefore 415 402 is not a square number.
The square of a number (here 415 402) is the result of the product of this number (415 402) by itself (i.e., 415 402 × 415 402); the square of 415 402 is sometimes called "raising 415 402 to the power 2", or "415 402 squared".
The square of 415 402 is 172 558 821 604 because 415 402 × 415 402 = 415 4022 = 172 558 821 604.
As a consequence, 415 402 is the square root of 172 558 821 604.
The multiples of 415 402 are all integers evenly divisible by 415 402, that is all numbers such that the remainder of the division by 415 402 is zero. There are infinitely many multiples of 415 402. The smallest multiples of 415 402 are: