460572 has 24 divisors (see below), whose sum is σ = 1228416. Its totient is φ = 131568.

The previous prime is 460571. The next prime is 460589. The reversal of 460572 is 275064.

It is a happy number.

460572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2658 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (51184).

2⁴⁶⁰⁵⁷² is an apocalyptic number.

460572 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

460572 is an abundant number, since it is smaller than the sum of its proper divisors (767844).

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

460572 is a wasteful number, since it uses less digits than its factorization.

460572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 460572 is about 678.6545512998. The cubic root of 460572 is about 77.2264095708.

The spelling of 460572 in words is "four hundred sixty thousand, five hundred seventy-two".