404438016 has 88 divisors (see below), whose sum is σ = 1085630544. Its totient is φ = 133857280.

The previous prime is 404437987. The next prime is 404438029. The reversal of 404438016 is 610834404.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531076 + ... + 531836.

Almost surely, 2^404438016 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 404438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542815272).

404438016 is an abundant number, since it is smaller than the sum of its proper divisors (681192528).

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

404438016 is a wasteful number, since it uses less digits than its factorization.

404438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 404438016 is about 20110.6443457190. The cubic root of 404438016 is about 739.5212486483.

The spelling of 404438016 in words is "four hundred four million, four hundred thirty-eight thousand, sixteen".