It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 409 742 is not a prime number.
For example, 409 742 can be divided by 2: 409 742 / 2 = 204 871.
For 409 742 to be a prime number, it would have been required that 409 742 has only two divisors, i.e., itself and 1.
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409 742 is an even number, because it is evenly divisible by 2: 409 742 / 2 = 204 871.
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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 409 742 is about 640.111.
Thus, the square root of 409 742 is not an integer, and therefore 409 742 is not a square number.
The square of a number (here 409 742) is the result of the product of this number (409 742) by itself (i.e., 409 742 × 409 742); the square of 409 742 is sometimes called "raising 409 742 to the power 2", or "409 742 squared".
The square of 409 742 is 167 888 506 564 because 409 742 × 409 742 = 409 7422 = 167 888 506 564.
As a consequence, 409 742 is the square root of 167 888 506 564.
The multiples of 409 742 are all integers evenly divisible by 409 742, that is all numbers such that the remainder of the division by 409 742 is zero. There are infinitely many multiples of 409 742. The smallest multiples of 409 742 are: