It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 258 414 is not a prime number.
For example, 258 414 can be divided by 2: 258 414 / 2 = 129 207.
For 258 414 to be a prime number, it would have been required that 258 414 has only two divisors, i.e., itself and 1.
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258 414 is an even number, because it is evenly divisible by 2: 258 414 / 2 = 129 207.
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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 258 414 is about 508.344.
Thus, the square root of 258 414 is not an integer, and therefore 258 414 is not a square number.
The square of a number (here 258 414) is the result of the product of this number (258 414) by itself (i.e., 258 414 × 258 414); the square of 258 414 is sometimes called "raising 258 414 to the power 2", or "258 414 squared".
The square of 258 414 is 66 777 795 396 because 258 414 × 258 414 = 258 4142 = 66 777 795 396.
As a consequence, 258 414 is the square root of 66 777 795 396.
The multiples of 258 414 are all integers evenly divisible by 258 414, that is all numbers such that the remainder of the division by 258 414 is zero. There are infinitely many multiples of 258 414. The smallest multiples of 258 414 are: