It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 493 413 is not a prime number.
For example, 493 413 can be divided by 3: 493 413 / 3 = 164 471.
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For 493 413 to be a prime number, it would have been required that 493 413 has only two divisors, i.e., itself and 1.
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493 413 is an odd number, because it is not evenly divisible by 2.
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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 493 413 is about 702.434.
Thus, the square root of 493 413 is not an integer, and therefore 493 413 is not a square number.
The square of a number (here 493 413) is the result of the product of this number (493 413) by itself (i.e., 493 413 × 493 413); the square of 493 413 is sometimes called "raising 493 413 to the power 2", or "493 413 squared".
The square of 493 413 is 243 456 388 569 because 493 413 × 493 413 = 493 4132 = 243 456 388 569.
As a consequence, 493 413 is the square root of 243 456 388 569.
The multiples of 493 413 are all integers evenly divisible by 493 413, that is all numbers such that the remainder of the division by 493 413 is zero. There are infinitely many multiples of 493 413. The smallest multiples of 493 413 are: