457989 has 16 divisors (see below), whose sum is σ = 707712. Its totient is φ = 258048.

The previous prime is 457987. The next prime is 458009. The reversal of 457989 is 989754.

It is not a de Polignac number, because 457989 - 2¹ = 457987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457989.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (44232).

2⁴⁵⁷⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

457989 is a deficient number, since it is larger than the sum of its proper divisors (249723).

457989 is a wasteful number, since it uses less digits than its factorization.

457989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its digits is 90720, while the sum is 42.

The square root of 457989 is about 676.7488455845. The cubic root of 457989 is about 77.0817706688.

The spelling of 457989 in words is "four hundred fifty-seven thousand, nine hundred eighty-nine".