460245968304 has 80 divisors (see below), whose sum is σ = 1252567449600. Its totient is φ = 145222219008.

The previous prime is 460245968227. The next prime is 460245968341. The reversal of 460245968304 is 403869542064.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915537 + ... + 1326159.

It is an arithmetic number, because the mean of its divisors is an integer number (15657093120).

Almost surely, 2^460245968304 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 460245968304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626283724800).

460245968304 is an abundant number, since it is smaller than the sum of its proper divisors (792321481296).

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

460245968304 is a wasteful number, since it uses less digits than its factorization.

460245968304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411882 (or 411876 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 460245968304 in words is "four hundred sixty billion, two hundred forty-five million, nine hundred sixty-eight thousand, three hundred four".