It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 409 567 is not a prime number.
For example, 409 567 can be divided by 29: 409 567 / 29 = 14 123.
For 409 567 to be a prime number, it would have been required that 409 567 has only two divisors, i.e., itself and 1.
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409 567 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 409 567 is about 639.974.
Thus, the square root of 409 567 is not an integer, and therefore 409 567 is not a square number.
The square of a number (here 409 567) is the result of the product of this number (409 567) by itself (i.e., 409 567 × 409 567); the square of 409 567 is sometimes called "raising 409 567 to the power 2", or "409 567 squared".
The square of 409 567 is 167 745 127 489 because 409 567 × 409 567 = 409 5672 = 167 745 127 489.
As a consequence, 409 567 is the square root of 167 745 127 489.
The multiples of 409 567 are all integers evenly divisible by 409 567, that is all numbers such that the remainder of the division by 409 567 is zero. There are infinitely many multiples of 409 567. The smallest multiples of 409 567 are: