It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 409 678 is not a prime number.
For example, 409 678 can be divided by 2: 409 678 / 2 = 204 839.
For 409 678 to be a prime number, it would have been required that 409 678 has only two divisors, i.e., itself and 1.
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409 678 is an even number, because it is evenly divisible by 2: 409 678 / 2 = 204 839.
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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 409 678 is about 640.061.
Thus, the square root of 409 678 is not an integer, and therefore 409 678 is not a square number.
The square of a number (here 409 678) is the result of the product of this number (409 678) by itself (i.e., 409 678 × 409 678); the square of 409 678 is sometimes called "raising 409 678 to the power 2", or "409 678 squared".
The square of 409 678 is 167 836 063 684 because 409 678 × 409 678 = 409 6782 = 167 836 063 684.
As a consequence, 409 678 is the square root of 167 836 063 684.
The multiples of 409 678 are all integers evenly divisible by 409 678, that is all numbers such that the remainder of the division by 409 678 is zero. There are infinitely many multiples of 409 678. The smallest multiples of 409 678 are: