460871856000 has 768 divisors, whose sum is σ = 1733246424000. Its totient is φ = 121695436800.

The previous prime is 460871855933. The next prime is 460871856061. The reversal of 460871856000 is 658178064.

It is a happy number.

460871856000 is a `hidden beast` number, since 4 + 6 + 0 + 87 + 1 + 8 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439343476 + ... + 439344524.

Almost surely, 2^460871856000 is an apocalyptic number.

460871856000 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 460871856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866623212000).

460871856000 is an abundant number, since it is smaller than the sum of its proper divisors (1272374568000).

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

460871856000 is a wasteful number, since it uses less digits than its factorization.

460871856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 460871856000 in words is "four hundred sixty billion, eight hundred seventy-one million, eight hundred fifty-six thousand".