460372200960 has 1440 divisors, whose sum is σ = 1889948142720. Its totient is φ = 95033917440.

The previous prime is 460372200907. The next prime is 460372200961. The reversal of 460372200960 is 69002273064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460372200961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6871226847 + ... + 6871226913.

It is an arithmetic number, because the mean of its divisors is an integer number (1312463988).

Almost surely, 2^460372200960 is an apocalyptic number.

460372200960 is a gapful number since it is divisible by the number (40) 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 460372200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944974071360).

460372200960 is an abundant number, since it is smaller than the sum of its proper divisors (1429575941760).

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

460372200960 is a wasteful number, since it uses less digits than its factorization.

460372200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 460372200960 in words is "four hundred sixty billion, three hundred seventy-two million, two hundred thousand, nine hundred sixty".