It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 409 338 is not a prime number.
For example, 409 338 can be divided by 2: 409 338 / 2 = 204 669.
For 409 338 to be a prime number, it would have been required that 409 338 has only two divisors, i.e., itself and 1.
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409 338 is an even number, because it is evenly divisible by 2: 409 338 / 2 = 204 669.
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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 409 338 is about 639.795.
Thus, the square root of 409 338 is not an integer, and therefore 409 338 is not a square number.
The square of a number (here 409 338) is the result of the product of this number (409 338) by itself (i.e., 409 338 × 409 338); the square of 409 338 is sometimes called "raising 409 338 to the power 2", or "409 338 squared".
The square of 409 338 is 167 557 598 244 because 409 338 × 409 338 = 409 3382 = 167 557 598 244.
As a consequence, 409 338 is the square root of 167 557 598 244.
The multiples of 409 338 are all integers evenly divisible by 409 338, that is all numbers such that the remainder of the division by 409 338 is zero. There are infinitely many multiples of 409 338. The smallest multiples of 409 338 are: