457872624 has 120 divisors (see below), whose sum is σ = 1415980800. Its totient is φ = 136955520.

The previous prime is 457872563. The next prime is 457872673. The reversal of 457872624 is 426278754.

It is a happy number.

457872624 is a `hidden beast` number, since 4 + 578 + 72 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 457872624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123307 + ... + 126965.

It is an arithmetic number, because the mean of its divisors is an integer number (11799840).

Almost surely, 2^457872624 is an apocalyptic number.

457872624 is a gapful number since it is divisible by the number (44) 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 457872624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707990400).

457872624 is an abundant number, since it is smaller than the sum of its proper divisors (958108176).

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

457872624 is a wasteful number, since it uses less digits than its factorization.

457872624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3754 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 457872624 is about 21397.9584072874. The cubic root of 457872624 is about 770.7524123387.

The spelling of 457872624 in words is "four hundred fifty-seven million, eight hundred seventy-two thousand, six hundred twenty-four".