480524 has 24 divisors (see below), whose sum is σ = 936768. Its totient is φ = 213840.

The previous prime is 480521. The next prime is 480527. The reversal of 480524 is 425084.

480524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (480521) and next prime (480527).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 480524.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480524.

It is not an unprimeable number, because it can be changed into a prime (480521) 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, 2867 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (39032).

2⁴⁸⁰⁵²⁴ is an apocalyptic number.

480524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480524 is a deficient number, since it is larger than the sum of its proper divisors (456244).

480524 is a wasteful number, since it uses less digits than its factorization.

480524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 480524 is about 693.1983843028. The cubic root of 480524 is about 78.3258339986.

The spelling of 480524 in words is "four hundred eighty thousand, five hundred twenty-four".