480675 has 48 divisors (see below), whose sum is σ = 937440. Its totient is φ = 215040.

The previous prime is 480661. The next prime is 480707. The reversal of 480675 is 576084.

It is a happy number.

It is not a de Polignac number, because 480675 - 2⁸ = 480419 is a prime.

It is a super-3 number, since 3×480675³ = 333177649222640625, which contains 333 as substring.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480675.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16561 + ... + 16589.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2⁴⁸⁰⁶⁷⁵ is an apocalyptic number.

480675 is a deficient number, since it is larger than the sum of its proper divisors (456765).

480675 is a wasteful number, since it uses less digits than its factorization.

480675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 480675 is about 693.3072911776. The cubic root of 480675 is about 78.3340375169.

The spelling of 480675 in words is "four hundred eighty thousand, six hundred seventy-five".