460518912 has 160 divisors (see below), whose sum is σ = 1558233600. Its totient is φ = 131549184.

The previous prime is 460518889. The next prime is 460518913. The reversal of 460518912 is 219815064.

460518912 is a `hidden beast` number, since 460 + 5 + 189 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460518913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94389 + ... + 99147.

It is an arithmetic number, because the mean of its divisors is an integer number (9738960).

Almost surely, 2^460518912 is an apocalyptic number.

460518912 is a gapful number since it is divisible by the number (42) 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 460518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779116800).

460518912 is an abundant number, since it is smaller than the sum of its proper divisors (1097714688).

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

460518912 is an equidigital number, since it uses as much as digits as its factorization.

460518912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 460518912 is about 21459.7043782061. The cubic root of 460518912 is about 772.2344227997.

The spelling of 460518912 in words is "four hundred sixty million, five hundred eighteen thousand, nine hundred twelve".