460939797964800 has 3456 divisors, whose sum is σ = 2131088801587200. Its totient is φ = 92403597312000.

The previous prime is 460939797964733. The next prime is 460939797964837. The reversal of 460939797964800 is 8469797939064.

460939797964800 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 397 + 97 + 9 + 64 + 80 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 460939797964800.

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, 680856422062 + ... + 680856422738.

It is an arithmetic number, because the mean of its divisors is an integer number (616634491200).

Almost surely, 2^{460939797964800} is an apocalyptic number.

460939797964800 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 460939797964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065544400793600).

460939797964800 is an abundant number, since it is smaller than the sum of its proper divisors (1670149003622400).

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

460939797964800 is a wasteful number, since it uses less digits than its factorization.

460939797964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 81.

The spelling of 460939797964800 in words is "four hundred sixty trillion, nine hundred thirty-nine billion, seven hundred ninety-seven million, nine hundred sixty-four thousand, eight hundred".