438016 has 36 divisors (see below), whose sum is σ = 919800. Its totient is φ = 207872.

The previous prime is 438001. The next prime is 438017. The reversal of 438016 is 610834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438017) by changing a digit.

438016 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 3 ways as a sum of consecutive naturals, for example, 7395 + ... + 7453.

It is an arithmetic number, because the mean of its divisors is an integer number (25550).

2⁴³⁸⁰¹⁶ 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 438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459900).

438016 is an abundant number, since it is smaller than the sum of its proper divisors (481784).

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

438016 is an equidigital number, since it uses as much as digits as its factorization.

438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 438016 is about 661.8277721583. The cubic root of 438016 is about 75.9445579027.

The spelling of 438016 in words is "four hundred thirty-eight thousand, sixteen".