460912032 has 360 divisors, whose sum is σ = 1668522240. Its totient is φ = 124104960.

The previous prime is 460912021. The next prime is 460912073. The reversal of 460912032 is 230219064.

460912032 is a `hidden beast` number, since 4 + 609 + 1 + 20 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 460911987 and 460912005.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2413057 + ... + 2413247.

It is an arithmetic number, because the mean of its divisors is an integer number (4634784).

Almost surely, 2^460912032 is an apocalyptic number.

460912032 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 460912032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

460912032 is an abundant number, since it is smaller than the sum of its proper divisors (1207610208).

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

460912032 is a wasteful number, since it uses less digits than its factorization.

460912032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 460912032 is about 21468.8619167389. The cubic root of 460912032 is about 772.4540985074.

It can be divided in two parts, 4609 and 12032, that added together give a square (16641 = 129²).

The spelling of 460912032 in words is "four hundred sixty million, nine hundred twelve thousand, thirty-two".