460578112344 has 96 divisors (see below), whose sum is σ = 1426582329120. Its totient is φ = 131502970368.

The previous prime is 460578112249. The next prime is 460578112349. The reversal of 460578112344 is 443211875064.

460578112344 is a `hidden beast` number, since 4 + 6 + 0 + 578 + 11 + 23 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 460578112344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460578112349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417844 + ... + 1046780.

It is an arithmetic number, because the mean of its divisors is an integer number (14860232595).

Almost surely, 2^460578112344 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 460578112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713291164560).

460578112344 is an abundant number, since it is smaller than the sum of its proper divisors (966004216776).

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

460578112344 is a wasteful number, since it uses less digits than its factorization.

460578112344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630409 (or 630402 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 460578112344 in words is "four hundred sixty billion, five hundred seventy-eight million, one hundred twelve thousand, three hundred forty-four".