459976974912 has 672 divisors, whose sum is σ = 1694235432960. Its totient is φ = 119806801920.

The previous prime is 459976974901. The next prime is 459976974929. The reversal of 459976974912 is 219479679954.

459976974912 is a `hidden beast` number, since 45 + 9 + 9 + 7 + 6 + 97 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169669237 + ... + 169671947.

It is an arithmetic number, because the mean of its divisors is an integer number (2521183680).

Almost surely, 2^459976974912 is an apocalyptic number.

459976974912 is a gapful number since it is divisible by the number (42) 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 459976974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847117716480).

459976974912 is an abundant number, since it is smaller than the sum of its proper divisors (1234258458048).

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

459976974912 is a wasteful number, since it uses less digits than its factorization.

459976974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2819 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 459976974912 in words is "four hundred fifty-nine billion, nine hundred seventy-six million, nine hundred seventy-four thousand, nine hundred twelve".