457631328 has 96 divisors (see below), whose sum is σ = 1497726720. Its totient is φ = 118863360.

The previous prime is 457631323. The next prime is 457631341. The reversal of 457631328 is 823136754.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457631323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23563 + ... + 38346.

It is an arithmetic number, because the mean of its divisors is an integer number (15601320).

Almost surely, 2^457631328 is an apocalyptic number.

457631328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

457631328 is an abundant number, since it is smaller than the sum of its proper divisors (1040095392).

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

457631328 is a wasteful number, since it uses less digits than its factorization.

457631328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61940 (or 61932 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 457631328 is about 21392.3193693438. The cubic root of 457631328 is about 770.6169946527.

The spelling of 457631328 in words is "four hundred fifty-seven million, six hundred thirty-one thousand, three hundred twenty-eight".