It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 508 is not a prime number.
For example, 421 508 can be divided by 2: 421 508 / 2 = 210 754.
For 421 508 to be a prime number, it would have been required that 421 508 has only two divisors, i.e., itself and 1.
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421 508 is an even number, because it is evenly divisible by 2: 421 508 / 2 = 210 754.
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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 421 508 is about 649.236.
Thus, the square root of 421 508 is not an integer, and therefore 421 508 is not a square number.
The square of a number (here 421 508) is the result of the product of this number (421 508) by itself (i.e., 421 508 × 421 508); the square of 421 508 is sometimes called "raising 421 508 to the power 2", or "421 508 squared".
The square of 421 508 is 177 668 994 064 because 421 508 × 421 508 = 421 5082 = 177 668 994 064.
As a consequence, 421 508 is the square root of 177 668 994 064.
The multiples of 421 508 are all integers evenly divisible by 421 508, that is all numbers such that the remainder of the division by 421 508 is zero. There are infinitely many multiples of 421 508. The smallest multiples of 421 508 are: