457325568 has 352 divisors, whose sum is σ = 1650700800. Its totient is φ = 122093568.

The previous prime is 457325543. The next prime is 457325639. The reversal of 457325568 is 865523754.

457325568 is a `hidden beast` number, since 4 + 57 + 32 + 5 + 568 = 666.

Its product of digits (1008000) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3290043 + ... + 3290181.

Almost surely, 2^457325568 is an apocalyptic number.

457325568 is a gapful number since it is divisible by the number (48) 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 457325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825350400).

457325568 is an abundant number, since it is smaller than the sum of its proper divisors (1193375232).

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

457325568 is a wasteful number, since it uses less digits than its factorization.

457325568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 457325568 is about 21385.1716850719. The cubic root of 457325568 is about 770.4453307436.

The spelling of 457325568 in words is "four hundred fifty-seven million, three hundred twenty-five thousand, five hundred sixty-eight".