460296032 has 48 divisors (see below), whose sum is σ = 1041479712. Its totient is φ = 196162560.

The previous prime is 460296019. The next prime is 460296061. The reversal of 460296032 is 230692064.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 460296032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34868 + ... + 46220.

It is an arithmetic number, because the mean of its divisors is an integer number (21697494).

Almost surely, 2^460296032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460296032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520739856).

460296032 is an abundant number, since it is smaller than the sum of its proper divisors (581183680).

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

460296032 is a wasteful number, since it uses less digits than its factorization.

460296032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11551 (or 11543 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 460296032 is about 21454.5107611430. The cubic root of 460296032 is about 772.1098217770.

The spelling of 460296032 in words is "four hundred sixty million, two hundred ninety-six thousand, thirty-two".