457880 has 16 divisors (see below), whose sum is σ = 1030320. Its totient is φ = 183136.

The previous prime is 457871. The next prime is 457889. The reversal of 457880 is 88754.

It is an interprime number because it is at equal distance from previous prime (457871) and next prime (457889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457889) 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 3 ways as a sum of consecutive naturals, for example, 5684 + ... + 5763.

It is an arithmetic number, because the mean of its divisors is an integer number (64395).

2⁴⁵⁷⁸⁸⁰ is an apocalyptic number.

457880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457880 is an abundant number, since it is smaller than the sum of its proper divisors (572440).

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

457880 is a wasteful number, since it uses less digits than its factorization.

457880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 457880 is about 676.6683087008. The cubic root of 457880 is about 77.0756551073.

The spelling of 457880 in words is "four hundred fifty-seven thousand, eight hundred eighty".