438336 has 42 divisors (see below), whose sum is σ = 1258062. Its totient is φ = 145920.

The previous prime is 438329. The next prime is 438341. The reversal of 438336 is 633834.

438336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 207936 = 480^2 + 456^2 .

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

It is a congruent number.

It is an unprimeable number.

438336 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 5 ways as a sum of consecutive naturals, for example, 196 + ... + 956.

2⁴³⁸³³⁶ 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 438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629031).

438336 is an abundant number, since it is smaller than the sum of its proper divisors (819726).

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

438336 is a wasteful number, since it uses less digits than its factorization.

438336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 438336 is about 662.0694827584. The cubic root of 438336 is about 75.9630475947.

The spelling of 438336 in words is "four hundred thirty-eight thousand, three hundred thirty-six".