457325568000 has 1792 divisors, whose sum is σ = 2060955187200. Its totient is φ = 97674854400.

The previous prime is 457325567971. The next prime is 457325568013. The reversal of 457325568000 is 865523754.

457325568000 is a `hidden beast` number, since 4 + 57 + 32 + 5 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3290111931 + ... + 3290112069.

It is an arithmetic number, because the mean of its divisors is an integer number (1150086600).

Almost surely, 2^457325568000 is an apocalyptic number.

457325568000 is a gapful number since it is divisible by the number (40) 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 457325568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030477593600).

457325568000 is an abundant number, since it is smaller than the sum of its proper divisors (1603629619200).

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

457325568000 is a wasteful number, since it uses less digits than its factorization.

457325568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

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

The spelling of 457325568000 in words is "four hundred fifty-seven billion, three hundred twenty-five million, five hundred sixty-eight thousand".