460358880 has 96 divisors (see below), whose sum is σ = 1459067904. Its totient is φ = 122006016.

The previous prime is 460358879. The next prime is 460358891. The reversal of 460358880 is 88853064.

It is a tau number, because it is divible by the number of its divisors (96).

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, 77289 + ... + 83031.

It is an arithmetic number, because the mean of its divisors is an integer number (15198624).

Almost surely, 2^460358880 is an apocalyptic number.

460358880 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 460358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729533952).

460358880 is an abundant number, since it is smaller than the sum of its proper divisors (998709024).

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

460358880 is a wasteful number, since it uses less digits than its factorization.

460358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 460358880 is about 21455.9753914848. The cubic root of 460358880 is about 772.1449610108.

The spelling of 460358880 in words is "four hundred sixty million, three hundred fifty-eight thousand, eight hundred eighty".