457557320 has 64 divisors (see below), whose sum is σ = 1129775040. Its totient is φ = 165395200.

The previous prime is 457557319. The next prime is 457557349. The reversal of 457557320 is 23755754.

It is an unprimeable number.

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, 73115 + ... + 79125.

It is an arithmetic number, because the mean of its divisors is an integer number (17652735).

Almost surely, 2^457557320 is an apocalyptic number.

457557320 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 457557320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564887520).

457557320 is an abundant number, since it is smaller than the sum of its proper divisors (672217720).

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

457557320 is a wasteful number, since it uses less digits than its factorization.

457557320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 38.

The square root of 457557320 is about 21390.5895196930. The cubic root of 457557320 is about 770.5754510974.

The spelling of 457557320 in words is "four hundred fifty-seven million, five hundred fifty-seven thousand, three hundred twenty".