457796631146400 has 1728 divisors, whose sum is σ = 2050620279402240. Its totient is φ = 96512676249600.

The previous prime is 457796631146389. The next prime is 457796631146443. The reversal of 457796631146400 is 4641136697754.

457796631146400 is a `hidden beast` number, since 4 + 5 + 77 + 96 + 6 + 3 + 11 + 464 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35288410314 + ... + 35288423286.

It is an arithmetic number, because the mean of its divisors is an integer number (1186701550580).

Almost surely, 2^{457796631146400} is an apocalyptic number.

457796631146400 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 457796631146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025310139701120).

457796631146400 is an abundant number, since it is smaller than the sum of its proper divisors (1592823648255840).

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

457796631146400 is a wasteful number, since it uses less digits than its factorization.

457796631146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416 (or 14384 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 457796631146400 in words is "four hundred fifty-seven trillion, seven hundred ninety-six billion, six hundred thirty-one million, one hundred forty-six thousand, four hundred".