457864 has 32 divisors (see below), whose sum is σ = 966240. Its totient is φ = 203280.

The previous prime is 457837. The next prime is 457871. The reversal of 457864 is 468754.

Its product of digits (26880) is a multiple of the sum of its prime divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10627 + ... + 10669.

It is an arithmetic number, because the mean of its divisors is an integer number (30195).

2⁴⁵⁷⁸⁶⁴ is an apocalyptic number.

457864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483120).

457864 is an abundant number, since it is smaller than the sum of its proper divisors (508376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457864 is a wasteful number, since it uses less digits than its factorization.

457864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 457864 is about 676.6564859661. The cubic root of 457864 is about 77.0747573285.

The spelling of 457864 in words is "four hundred fifty-seven thousand, eight hundred sixty-four".