438934016 has 80 divisors (see below), whose sum is σ = 936904320. Its totient is φ = 204718080.

The previous prime is 438933947. The next prime is 438934019. The reversal of 438934016 is 610439834.

It is not an unprimeable number, because it can be changed into a prime (438934019) 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, 1836425 + ... + 1836663.

It is an arithmetic number, because the mean of its divisors is an integer number (11711304).

Almost surely, 2^438934016 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 438934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468452160).

438934016 is an abundant number, since it is smaller than the sum of its proper divisors (497970304).

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

438934016 is a wasteful number, since it uses less digits than its factorization.

438934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 438934016 is about 20950.7521583355. The cubic root of 438934016 is about 759.9757702340.

The spelling of 438934016 in words is "four hundred thirty-eight million, nine hundred thirty-four thousand, sixteen".