457400 has 24 divisors (see below), whose sum is σ = 1063920. Its totient is φ = 182880.

The previous prime is 457399. The next prime is 457403. The reversal of 457400 is 4754.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 944 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (44330).

2⁴⁵⁷⁴⁰⁰ is an apocalyptic number.

457400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457400 is an abundant number, since it is smaller than the sum of its proper divisors (606520).

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

457400 is a wasteful number, since it uses less digits than its factorization.

457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 457400 is about 676.3135367564. The cubic root of 457400 is about 77.0487126407.

The spelling of 457400 in words is "four hundred fifty-seven thousand, four hundred".