It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 505 398 is not a prime number.
For example, 505 398 can be divided by 2: 505 398 / 2 = 252 699.
For 505 398 to be a prime number, it would have been required that 505 398 has only two divisors, i.e., itself and 1.
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505 398 is an even number, because it is evenly divisible by 2: 505 398 / 2 = 252 699.
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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 505 398 is about 710.913.
Thus, the square root of 505 398 is not an integer, and therefore 505 398 is not a square number.
The square of a number (here 505 398) is the result of the product of this number (505 398) by itself (i.e., 505 398 × 505 398); the square of 505 398 is sometimes called "raising 505 398 to the power 2", or "505 398 squared".
The square of 505 398 is 255 427 138 404 because 505 398 × 505 398 = 505 3982 = 255 427 138 404.
As a consequence, 505 398 is the square root of 255 427 138 404.
The multiples of 505 398 are all integers evenly divisible by 505 398, that is all numbers such that the remainder of the division by 505 398 is zero. There are infinitely many multiples of 505 398. The smallest multiples of 505 398 are: