It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 216 is not a prime number.
For example, 413 216 can be divided by 2: 413 216 / 2 = 206 608.
For 413 216 to be a prime number, it would have been required that 413 216 has only two divisors, i.e., itself and 1.
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413 216 is an even number, because it is evenly divisible by 2: 413 216 / 2 = 206 608.
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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 413 216 is about 642.819.
Thus, the square root of 413 216 is not an integer, and therefore 413 216 is not a square number.
The square of a number (here 413 216) is the result of the product of this number (413 216) by itself (i.e., 413 216 × 413 216); the square of 413 216 is sometimes called "raising 413 216 to the power 2", or "413 216 squared".
The square of 413 216 is 170 747 462 656 because 413 216 × 413 216 = 413 2162 = 170 747 462 656.
As a consequence, 413 216 is the square root of 170 747 462 656.
The multiples of 413 216 are all integers evenly divisible by 413 216, that is all numbers such that the remainder of the division by 413 216 is zero. There are infinitely many multiples of 413 216. The smallest multiples of 413 216 are: