480032 has 24 divisors (see below), whose sum is σ = 1080576. Its totient is φ = 205632.

The previous prime is 480023. The next prime is 480043. The reversal of 480032 is 230084.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480032.

It is an unprimeable number.

480032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 848 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (45024).

2⁴⁸⁰⁰³² is an apocalyptic number.

It is an amenable number.

480032 is an abundant number, since it is smaller than the sum of its proper divisors (600544).

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

480032 is a wasteful number, since it uses less digits than its factorization.

480032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 480032 is about 692.8434166534. The cubic root of 480032 is about 78.2990927259.

The spelling of 480032 in words is "four hundred eighty thousand, thirty-two".