404404416 has 168 divisors, whose sum is σ = 1273119120. Its totient is φ = 121964544.

The previous prime is 404404411. The next prime is 404404433. The reversal of 404404416 is 614404404.

It is a self number, because there is not a number n which added to its sum of digits gives 404404416.

It is not an unprimeable number, because it can be changed into a prime (404404411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396355 + ... + 397373.

It is an arithmetic number, because the mean of its divisors is an integer number (7578090).

Almost surely, 2^404404416 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 404404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636559560).

404404416 is an abundant number, since it is smaller than the sum of its proper divisors (868714704).

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

404404416 is a wasteful number, since it uses less digits than its factorization.

404404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 404404416 is about 20109.8089498632. The cubic root of 404404416 is about 739.5007687056.

The spelling of 404404416 in words is "four hundred four million, four hundred four thousand, four hundred sixteen".