It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 421 412 is not a prime number.
For example, 421 412 can be divided by 2: 421 412 / 2 = 210 706.
For 421 412 to be a prime number, it would have been required that 421 412 has only two divisors, i.e., itself and 1.
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421 412 is an even number, because it is evenly divisible by 2: 421 412 / 2 = 210 706.
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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 421 412 is about 649.163.
Thus, the square root of 421 412 is not an integer, and therefore 421 412 is not a square number.
The square of a number (here 421 412) is the result of the product of this number (421 412) by itself (i.e., 421 412 × 421 412); the square of 421 412 is sometimes called "raising 421 412 to the power 2", or "421 412 squared".
The square of 421 412 is 177 588 073 744 because 421 412 × 421 412 = 421 4122 = 177 588 073 744.
As a consequence, 421 412 is the square root of 177 588 073 744.
The multiples of 421 412 are all integers evenly divisible by 421 412, that is all numbers such that the remainder of the division by 421 412 is zero. There are infinitely many multiples of 421 412. The smallest multiples of 421 412 are: