480832 has 28 divisors (see below), whose sum is σ = 1042416. Its totient is φ = 218240.

The previous prime is 480827. The next prime is 480839. The reversal of 480832 is 238084.

It is a super-3 number, since 3×480832³ = 333504227335471104, which contains 333 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 480797 and 480806.

It is not an unprimeable number, because it can be changed into a prime (480839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 363 + ... + 1045.

2⁴⁸⁰⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521208).

480832 is an abundant number, since it is smaller than the sum of its proper divisors (561584).

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

480832 is a wasteful number, since it uses less digits than its factorization.

480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 480832 is about 693.4205073402. The cubic root of 480832 is about 78.3425651813.

The spelling of 480832 in words is "four hundred eighty thousand, eight hundred thirty-two".