457993872 has 320 divisors, whose sum is σ = 1628467200. Its totient is φ = 120268800.

The previous prime is 457993847. The next prime is 457993901. The reversal of 457993872 is 278399754.

457993872 is a `hidden beast` number, since 457 + 99 + 38 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3032997 + ... + 3033147.

It is an arithmetic number, because the mean of its divisors is an integer number (5088960).

Almost surely, 2^457993872 is an apocalyptic number.

457993872 is a gapful number since it is divisible by the number (42) 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 457993872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

457993872 is an abundant number, since it is smaller than the sum of its proper divisors (1170473328).

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

457993872 is a wasteful number, since it uses less digits than its factorization.

457993872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 457993872 is about 21400.7913872361. The cubic root of 457993872 is about 770.8204399486.

The spelling of 457993872 in words is "four hundred fifty-seven million, nine hundred ninety-three thousand, eight hundred seventy-two".