457920 has 112 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 119808.

The previous prime is 457913. The next prime is 457943. The reversal of 457920 is 29754.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8614 + ... + 8666.

2⁴⁵⁷⁹²⁰ is an apocalyptic number.

457920 is a gapful number since it is divisible by the number (40) 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 457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

457920 is an abundant number, since it is smaller than the sum of its proper divisors (1188000).

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

457920 is a wasteful number, since it uses less digits than its factorization.

457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 457920 is about 676.6978646338. The cubic root of 457920 is about 77.0778994627.

The spelling of 457920 in words is "four hundred fifty-seven thousand, nine hundred twenty".