457731920 has 20 divisors (see below), whose sum is σ = 1064226900. Its totient is φ = 183092736.

The previous prime is 457731917. The next prime is 457731931. The reversal of 457731920 is 29137754.

It can be written as a sum of positive squares in 2 ways, for example, as 248755984 + 208975936 = 15772^2 + 14456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2860745 + ... + 2860904.

It is an arithmetic number, because the mean of its divisors is an integer number (53211345).

Almost surely, 2^457731920 is an apocalyptic number.

457731920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457731920 is an abundant number, since it is smaller than the sum of its proper divisors (606494980).

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

457731920 is a wasteful number, since it uses less digits than its factorization.

457731920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721662 (or 5721656 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 457731920 is about 21394.6703643688. The cubic root of 457731920 is about 770.6734536558.

The spelling of 457731920 in words is "four hundred fifty-seven million, seven hundred thirty-one thousand, nine hundred twenty".