480564 has 36 divisors (see below), whose sum is σ = 1389024. Its totient is φ = 137232.

The previous prime is 480563. The next prime is 480569. The reversal of 480564 is 465084.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480564.

It is not an unprimeable number, because it can be changed into a prime (480563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (38584).

2⁴⁸⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

480564 is an abundant number, since it is smaller than the sum of its proper divisors (908460).

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

480564 is a wasteful number, since it uses less digits than its factorization.

480564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 480564 is about 693.2272354719. The cubic root of 480564 is about 78.3280072834.

The spelling of 480564 in words is "four hundred eighty thousand, five hundred sixty-four".