460608680224 has 96 divisors (see below), whose sum is σ = 1131292213632. Its totient is φ = 179345664000.

The previous prime is 460608680221. The next prime is 460608680263. The reversal of 460608680224 is 422086806064.

It is not an unprimeable number, because it can be changed into a prime (460608680221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3936484 + ... + 4051804.

It is an arithmetic number, because the mean of its divisors is an integer number (11784293892).

Almost surely, 2^460608680224 is an apocalyptic number.

460608680224 is a gapful number since it is divisible by the number (44) 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 460608680224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565646106816).

460608680224 is an abundant number, since it is smaller than the sum of its proper divisors (670683533408).

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

460608680224 is a wasteful number, since it uses less digits than its factorization.

460608680224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116970 (or 116962 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 460608680224 in words is "four hundred sixty billion, six hundred eight million, six hundred eighty thousand, two hundred twenty-four".