It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 478 is not a prime number.
For example, 413 478 can be divided by 2: 413 478 / 2 = 206 739.
For 413 478 to be a prime number, it would have been required that 413 478 has only two divisors, i.e., itself and 1.
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413 478 is an even number, because it is evenly divisible by 2: 413 478 / 2 = 206 739.
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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 413 478 is about 643.023.
Thus, the square root of 413 478 is not an integer, and therefore 413 478 is not a square number.
The square of a number (here 413 478) is the result of the product of this number (413 478) by itself (i.e., 413 478 × 413 478); the square of 413 478 is sometimes called "raising 413 478 to the power 2", or "413 478 squared".
The square of 413 478 is 170 964 056 484 because 413 478 × 413 478 = 413 4782 = 170 964 056 484.
As a consequence, 413 478 is the square root of 170 964 056 484.
The multiples of 413 478 are all integers evenly divisible by 413 478, that is all numbers such that the remainder of the division by 413 478 is zero. There are infinitely many multiples of 413 478. The smallest multiples of 413 478 are: