457988 has 12 divisors (see below), whose sum is σ = 815052. Its totient is φ = 225120.

The previous prime is 457987. The next prime is 458009. The reversal of 457988 is 889754.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 334084 = 352^2 + 578^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457988.

It is not an unprimeable number, because it can be changed into a prime (457981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 695 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (67921).

2⁴⁵⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

457988 is a deficient number, since it is larger than the sum of its proper divisors (357064).

457988 is a wasteful number, since it uses less digits than its factorization.

457988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1940 counting only the distinct ones).

The product of its digits is 80640, while the sum is 41.

The square root of 457988 is about 676.7481067576. The cubic root of 457988 is about 77.0817145671.

The spelling of 457988 in words is "four hundred fifty-seven thousand, nine hundred eighty-eight".