480264 has 16 divisors (see below), whose sum is σ = 1200720. Its totient is φ = 160080.

The previous prime is 480209. The next prime is 480287. The reversal of 480264 is 462084.

480264 is nontrivially palindromic in base 15.

480264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 20011 = 480264 / (4 + 8 + 0 + 2 + 6 + 4).

480264 is a modest number, since divided by 264 gives 48 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9982 + ... + 10029.

It is an arithmetic number, because the mean of its divisors is an integer number (75045).

2⁴⁸⁰²⁶⁴ is an apocalyptic number.

It is an amenable number.

480264 is an abundant number, since it is smaller than the sum of its proper divisors (720456).

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

480264 is a wasteful number, since it uses less digits than its factorization.

480264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020 (or 20016 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 480264 is about 693.0108224263. The cubic root of 480264 is about 78.3117047072.

The spelling of 480264 in words is "four hundred eighty thousand, two hundred sixty-four".