457798920 has 64 divisors (see below), whose sum is σ = 1445688000. Its totient is φ = 115653888.

The previous prime is 457798919. The next prime is 457798921. The reversal of 457798920 is 29897754.

It is an interprime number because it is at equal distance from previous prime (457798919) and next prime (457798921).

It is not an unprimeable number, because it can be changed into a prime (457798921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98115 + ... + 102674.

It is an arithmetic number, because the mean of its divisors is an integer number (22588875).

Almost surely, 2^457798920 is an apocalyptic number.

457798920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457798920 is an abundant number, since it is smaller than the sum of its proper divisors (987889080).

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

457798920 is a wasteful number, since it uses less digits than its factorization.

457798920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200822 (or 200818 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 457798920 is about 21396.2361175979. The cubic root of 457798920 is about 770.7110539774.

The spelling of 457798920 in words is "four hundred fifty-seven million, seven hundred ninety-eight thousand, nine hundred twenty".