384832 has 28 divisors (see below), whose sum is σ = 873760. Its totient is φ = 164736.

The previous prime is 384827. The next prime is 384841. The reversal of 384832 is 238483.

384832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 384832.

It is a congruent number.

It is an unprimeable number.

384832 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, 19 + ... + 877.

2³⁸⁴⁸³² is an apocalyptic number.

384832 is a gapful number since it is divisible by the number (32) 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 384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436880).

384832 is an abundant number, since it is smaller than the sum of its proper divisors (488928).

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

384832 is an equidigital number, since it uses as much as digits as its factorization.

384832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 868 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 384832 is about 620.3482892698. The cubic root of 384832 is about 72.7372804410.

The spelling of 384832 in words is "three hundred eighty-four thousand, eight hundred thirty-two".