460966313024 has 336 divisors, whose sum is σ = 1189834470720. Its totient is φ = 175575859200.

The previous prime is 460966313011. The next prime is 460966313069. The reversal of 460966313024 is 420313669064.

It is a Cunningham number, because it is equal to 678945²-1.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438597299 + ... + 438598349.

It is an arithmetic number, because the mean of its divisors is an integer number (3541174020).

Almost surely, 2^460966313024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460966313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594917235360).

460966313024 is an abundant number, since it is smaller than the sum of its proper divisors (728868157696).

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

460966313024 is a wasteful number, since it uses less digits than its factorization.

460966313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 460966313024 in words is "four hundred sixty billion, nine hundred sixty-six million, three hundred thirteen thousand, twenty-four".