457409384640 has 560 divisors, whose sum is σ = 1808811459840. Its totient is φ = 108958556160.

The previous prime is 457409384639. The next prime is 457409384651. The reversal of 457409384640 is 46483904754.

457409384640 is a `hidden beast` number, since 4 + 57 + 40 + 93 + 8 + 464 + 0 = 666.

457409384640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10423866 + ... + 10467654.

It is an arithmetic number, because the mean of its divisors is an integer number (3230020464).

Almost surely, 2^457409384640 is an apocalyptic number.

457409384640 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 457409384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904405729920).

457409384640 is an abundant number, since it is smaller than the sum of its proper divisors (1351402075200).

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

457409384640 is a wasteful number, since it uses less digits than its factorization.

457409384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43862 (or 43843 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 457409384640 in words is "four hundred fifty-seven billion, four hundred nine million, three hundred eighty-four thousand, six hundred forty".