482832 has 60 divisors (see below), whose sum is σ = 1547520. Its totient is φ = 137664.

The previous prime is 482827. The next prime is 482837. The reversal of 482832 is 238284.

It is an interprime number because it is at equal distance from previous prime (482827) and next prime (482837).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 482796 and 482805.

It is not an unprimeable number, because it can be changed into a prime (482837) by changing a digit.

482832 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 11 ways as a sum of consecutive naturals, for example, 769 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (25792).

2⁴⁸²⁸³² is an apocalyptic number.

482832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760).

482832 is an abundant number, since it is smaller than the sum of its proper divisors (1064688).

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

482832 is a wasteful number, since it uses less digits than its factorization.

482832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 482832 is about 694.8611372066. The cubic root of 482832 is about 78.4510357692.

The spelling of 482832 in words is "four hundred eighty-two thousand, eight hundred thirty-two".