460507232 has 48 divisors (see below), whose sum is σ = 945165312. Its totient is φ = 220613760.

The previous prime is 460507231. The next prime is 460507261. The reversal of 460507232 is 232705064.

It is a junction number, because it is equal to n+sod(n) for n = 460507195 and 460507204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460507231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99923 + ... + 104429.

It is an arithmetic number, because the mean of its divisors is an integer number (19690944).

Almost surely, 2^460507232 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 460507232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472582656).

460507232 is an abundant number, since it is smaller than the sum of its proper divisors (484658080).

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

460507232 is a wasteful number, since it uses less digits than its factorization.

460507232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 460507232 is about 21459.4322385286. The cubic root of 460507232 is about 772.2278940962.

The spelling of 460507232 in words is "four hundred sixty million, five hundred seven thousand, two hundred thirty-two".