384432 has 20 divisors (see below), whose sum is σ = 993240. Its totient is φ = 128128.

The previous prime is 384407. The next prime is 384437. The reversal of 384432 is 234483.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

384432 is a modest number, since divided by 432 gives 384 as remainder.

It is not an unprimeable number, because it can be changed into a prime (384437) by changing a digit.

384432 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 3957 + ... + 4052.

It is an arithmetic number, because the mean of its divisors is an integer number (49662).

2³⁸⁴⁴³² is an apocalyptic number.

It is an amenable number.

384432 is an abundant number, since it is smaller than the sum of its proper divisors (608808).

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

384432 is a wasteful number, since it uses less digits than its factorization.

384432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8014 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 384432 is about 620.0258059146. The cubic root of 384432 is about 72.7120703073.

The spelling of 384432 in words is "three hundred eighty-four thousand, four hundred thirty-two".