460805866752 has 864 divisors, whose sum is σ = 1655416304640. Its totient is φ = 110497628160.

The previous prime is 460805866733. The next prime is 460805866789. The reversal of 460805866752 is 257668508064.

It is a junction number, because it is equal to n+sod(n) for n = 460805866692 and 460805866701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1008327708 + ... + 1008328164.

Almost surely, 2^460805866752 is an apocalyptic number.

460805866752 is a gapful number since it is divisible by the number (42) 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 460805866752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827708152320).

460805866752 is an abundant number, since it is smaller than the sum of its proper divisors (1194610437888).

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

460805866752 is a wasteful number, since it uses less digits than its factorization.

460805866752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 460805866752 in words is "four hundred sixty billion, eight hundred five million, eight hundred sixty-six thousand, seven hundred fifty-two".