457820 has 24 divisors (see below), whose sum is σ = 1049328. Its totient is φ = 166400.

The previous prime is 457817. The next prime is 457829. The reversal of 457820 is 28754.

It is a self number, because there is not a number n which added to its sum of digits gives 457820.

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 457820.

It is not an unprimeable number, because it can be changed into a prime (457829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 821 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (43722).

2⁴⁵⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

457820 is an abundant number, since it is smaller than the sum of its proper divisors (591508).

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

457820 is a wasteful number, since it uses less digits than its factorization.

457820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 457820 is about 676.6239723805. The cubic root of 457820 is about 77.0722883290.

The spelling of 457820 in words is "four hundred fifty-seven thousand, eight hundred twenty".