438872 has 32 divisors (see below), whose sum is σ = 997920. Its totient is φ = 176640.

The previous prime is 438869. The next prime is 438877. The reversal of 438872 is 278834.

438872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438872.

It is not an unprimeable number, because it can be changed into a prime (438877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2⁴³⁸⁸⁷² 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 438872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498960).

438872 is an abundant number, since it is smaller than the sum of its proper divisors (559048).

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

438872 is a wasteful number, since it uses less digits than its factorization.

438872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 438872 is about 662.4741504391. The cubic root of 438872 is about 75.9939976792.

The spelling of 438872 in words is "four hundred thirty-eight thousand, eight hundred seventy-two".