It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 409 is not a prime number.
For example, 488 409 can be divided by 3: 488 409 / 3 = 162 803.
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For 488 409 to be a prime number, it would have been required that 488 409 has only two divisors, i.e., itself and 1.
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488 409 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 488 409 is about 698.863.
Thus, the square root of 488 409 is not an integer, and therefore 488 409 is not a square number.
The square of a number (here 488 409) is the result of the product of this number (488 409) by itself (i.e., 488 409 × 488 409); the square of 488 409 is sometimes called "raising 488 409 to the power 2", or "488 409 squared".
The square of 488 409 is 238 543 351 281 because 488 409 × 488 409 = 488 4092 = 238 543 351 281.
As a consequence, 488 409 is the square root of 238 543 351 281.
The multiples of 488 409 are all integers evenly divisible by 488 409, that is all numbers such that the remainder of the division by 488 409 is zero. There are infinitely many multiples of 488 409. The smallest multiples of 488 409 are: