460741576160 has 96 divisors (see below), whose sum is σ = 1146133618560. Its totient is φ = 174544685568.

The previous prime is 460741576157. The next prime is 460741576177. The reversal of 460741576160 is 61675147064.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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, 11053919 + ... + 11095521.

It is an arithmetic number, because the mean of its divisors is an integer number (11938891860).

Almost surely, 2^460741576160 is an apocalyptic number.

460741576160 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 460741576160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573066809280).

460741576160 is an abundant number, since it is smaller than the sum of its proper divisors (685392042400).

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

460741576160 is a wasteful number, since it uses less digits than its factorization.

460741576160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45280 (or 45272 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 460741576160 in words is "four hundred sixty billion, seven hundred forty-one million, five hundred seventy-six thousand, one hundred sixty".