460680152486400 has 2880 divisors, whose sum is σ = 2217467272939776. Its totient is φ = 88393383936000.

The previous prime is 460680152486357. The next prime is 460680152486419. The reversal of 460680152486400 is 4684251086064.

460680152486400 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 8 + 0 + 152 + 4 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×460680152486400² (a number of 30 digits) contains 22 as substring.

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, 7992201580 + ... + 7992259220.

Almost surely, 2^{460680152486400} is an apocalyptic number.

460680152486400 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 460680152486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108733636469888).

460680152486400 is an abundant number, since it is smaller than the sum of its proper divisors (1756787120453376).

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

460680152486400 is a wasteful number, since it uses less digits than its factorization.

460680152486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57763 (or 57739 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 460680152486400 in words is "four hundred sixty trillion, six hundred eighty billion, one hundred fifty-two million, four hundred eighty-six thousand, four hundred".