460978708800 has 336 divisors, whose sum is σ = 1529356311360. Its totient is φ = 121554370560.

The previous prime is 460978708789. The next prime is 460978708843. The reversal of 460978708800 is 8807879064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335744914 + ... + 335746286.

Almost surely, 2^460978708800 is an apocalyptic number.

460978708800 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 460978708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764678155680).

460978708800 is an abundant number, since it is smaller than the sum of its proper divisors (1068377602560).

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

460978708800 is a wasteful number, since it uses less digits than its factorization.

460978708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 460978708800 in words is "four hundred sixty billion, nine hundred seventy-eight million, seven hundred eight thousand, eight hundred".