438816 has 48 divisors (see below), whose sum is σ = 1318464. Its totient is φ = 125184.

The previous prime is 438793. The next prime is 438827. The reversal of 438816 is 618834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

438816 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, 346 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (27468).

2⁴³⁸⁸¹⁶ 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 438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659232).

438816 is an abundant number, since it is smaller than the sum of its proper divisors (879648).

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

438816 is a wasteful number, since it uses less digits than its factorization.

438816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 438816 is about 662.4318832907. The cubic root of 438816 is about 75.9907652676.

The spelling of 438816 in words is "four hundred thirty-eight thousand, eight hundred sixteen".