457980568000 has 112 divisors (see below), whose sum is σ = 1137188988000. Its totient is φ = 182707660800.

The previous prime is 457980567971. The next prime is 457980568013. The reversal of 457980568000 is 865089754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956476 + ... + 3107524.

Almost surely, 2^457980568000 is an apocalyptic number.

457980568000 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 457980568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568594494000).

457980568000 is an abundant number, since it is smaller than the sum of its proper divisors (679208420000).

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

457980568000 is a wasteful number, since it uses less digits than its factorization.

457980568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151455 (or 151435 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 457980568000 in words is "four hundred fifty-seven billion, nine hundred eighty million, five hundred sixty-eight thousand".