438432 has 24 divisors (see below), whose sum is σ = 1151136. Its totient is φ = 146112.

The previous prime is 438419. The next prime is 438439. The reversal of 438432 is 234834.

438432 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 (24).

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.

It is not an unprimeable number, because it can be changed into a prime (438439) by changing a digit.

438432 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2188 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (47964).

2⁴³⁸⁴³² is an apocalyptic number.

It is an amenable number.

438432 is an abundant number, since it is smaller than the sum of its proper divisors (712704).

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

438432 is a wasteful number, since it uses less digits than its factorization.

438432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4572 counting only the distinct ones).

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

The square root of 438432 is about 662.1419787327. The cubic root of 438432 is about 75.9685927475.

The spelling of 438432 in words is "four hundred thirty-eight thousand, four hundred thirty-two".