It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 488 214 is not a prime number.
For example, 488 214 can be divided by 2: 488 214 / 2 = 244 107.
For 488 214 to be a prime number, it would have been required that 488 214 has only two divisors, i.e., itself and 1.
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488 214 is an even number, because it is evenly divisible by 2: 488 214 / 2 = 244 107.
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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 488 214 is about 698.723.
Thus, the square root of 488 214 is not an integer, and therefore 488 214 is not a square number.
The square of a number (here 488 214) is the result of the product of this number (488 214) by itself (i.e., 488 214 × 488 214); the square of 488 214 is sometimes called "raising 488 214 to the power 2", or "488 214 squared".
The square of 488 214 is 238 352 909 796 because 488 214 × 488 214 = 488 2142 = 238 352 909 796.
As a consequence, 488 214 is the square root of 238 352 909 796.
The multiples of 488 214 are all integers evenly divisible by 488 214, that is all numbers such that the remainder of the division by 488 214 is zero. There are infinitely many multiples of 488 214. The smallest multiples of 488 214 are: