460786879872 has 672 divisors, whose sum is σ = 1555122673440. Its totient is φ = 135735367680.

The previous prime is 460786879829. The next prime is 460786879961. The reversal of 460786879872 is 278978687064.

460786879872 is a `hidden beast` number, since 4 + 607 + 8 + 6 + 8 + 7 + 9 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 460786879872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 417757273 + ... + 417758375.

It is an arithmetic number, because the mean of its divisors is an integer number (2314170645).

Almost surely, 2^460786879872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460786879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777561336720).

460786879872 is an abundant number, since it is smaller than the sum of its proper divisors (1094335793568).

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

460786879872 is a wasteful number, since it uses less digits than its factorization.

460786879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 460786879872 in words is "four hundred sixty billion, seven hundred eighty-six million, eight hundred seventy-nine thousand, eight hundred seventy-two".