438912 has 64 divisors (see below), whose sum is σ = 1305600. Its totient is φ = 145152.

The previous prime is 438899. The next prime is 438913. The reversal of 438912 is 219834.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (438913) by changing a digit.

438912 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 7 ways as a sum of consecutive naturals, for example, 3393 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

438912 is a Friedman number, since it can be written as (19*4)^3-8^2, using all its digits and the basic arithmetic operations.

2⁴³⁸⁹¹² 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 438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652800).

438912 is an abundant number, since it is smaller than the sum of its proper divisors (866688).

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

438912 is a wasteful number, since it uses less digits than its factorization.

438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 438912 is about 662.5043396084. The cubic root of 438912 is about 75.9963063764.

The spelling of 438912 in words is "four hundred thirty-eight thousand, nine hundred twelve".