457472664 has 64 divisors (see below), whose sum is σ = 1386288000. Its totient is φ = 138627360.

The previous prime is 457472663. The next prime is 457472683. The reversal of 457472664 is 466274754.

457472664 is a `hidden beast` number, since 4 + 574 + 72 + 6 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457472663) 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, 93894 + ... + 98645.

It is an arithmetic number, because the mean of its divisors is an integer number (21660750).

Almost surely, 2^457472664 is an apocalyptic number.

457472664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

457472664 is an abundant number, since it is smaller than the sum of its proper divisors (928815336).

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

457472664 is a wasteful number, since it uses less digits than its factorization.

457472664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192565 (or 192555 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 457472664 is about 21388.6106140628. The cubic root of 457472664 is about 770.5279249142.

The spelling of 457472664 in words is "four hundred fifty-seven million, four hundred seventy-two thousand, six hundred sixty-four".