460216113024 has 128 divisors (see below), whose sum is σ = 1249126272000. Its totient is φ = 150061144064.

The previous prime is 460216112999. The next prime is 460216113041. The reversal of 460216113024 is 420311612064.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 460216112982 and 460216113000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40367677 + ... + 40379075.

It is an arithmetic number, because the mean of its divisors is an integer number (9758799000).

Almost surely, 2^460216113024 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 460216113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624563136000).

460216113024 is an abundant number, since it is smaller than the sum of its proper divisors (788910158976).

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

460216113024 is a wasteful number, since it uses less digits than its factorization.

460216113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13700 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 460216113024 its reverse (420311612064), we get a palindrome (880527725088).

The spelling of 460216113024 in words is "four hundred sixty billion, two hundred sixteen million, one hundred thirteen thousand, twenty-four".