457038320 has 40 divisors (see below), whose sum is σ = 1068788736. Its totient is φ = 181753088.

The previous prime is 457038317. The next prime is 457038341. The reversal of 457038320 is 23830754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2672 + ... + 30351.

Almost surely, 2^457038320 is an apocalyptic number.

457038320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457038320 is an abundant number, since it is smaller than the sum of its proper divisors (611750416).

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

457038320 is a wasteful number, since it uses less digits than its factorization.

457038320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33209 (or 33203 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 457038320 is about 21378.4545746413. The cubic root of 457038320 is about 770.2839903718.

The spelling of 457038320 in words is "four hundred fifty-seven million, thirty-eight thousand, three hundred twenty".