460912008920 has 128 divisors (see below), whose sum is σ = 1169896089600. Its totient is φ = 161909990400.

The previous prime is 460912008899. The next prime is 460912008961. The reversal of 460912008920 is 29800219064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7731467 + ... + 7790853.

It is an arithmetic number, because the mean of its divisors is an integer number (9139813200).

Almost surely, 2^460912008920 is an apocalyptic number.

460912008920 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 460912008920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584948044800).

460912008920 is an abundant number, since it is smaller than the sum of its proper divisors (708984080680).

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

460912008920 is a wasteful number, since it uses less digits than its factorization.

460912008920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60009 (or 60005 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 460912008920 in words is "four hundred sixty billion, nine hundred twelve million, eight thousand, nine hundred twenty".