457401245772800 has 132 divisors (see below), whose sum is σ = 1295772806445360. Its totient is φ = 156823284203520.

The previous prime is 457401245772769. The next prime is 457401245772811. The reversal of 457401245772800 is 8277542104754.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1276051955 + ... + 1276410354.

Almost surely, 2^{457401245772800} is an apocalyptic number.

457401245772800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457401245772800 is an abundant number, since it is smaller than the sum of its proper divisors (838371560672560).

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

457401245772800 is a wasteful number, since it uses less digits than its factorization.

457401245772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552462346 (or 2552462323 counting only the distinct ones).

The product of its (nonzero) digits is 17561600, while the sum is 56.

The spelling of 457401245772800 in words is "four hundred fifty-seven trillion, four hundred one billion, two hundred forty-five million, seven hundred seventy-two thousand, eight hundred".