404320896 has 224 divisors, whose sum is σ = 1382426400. Its totient is φ = 115333632.

The previous prime is 404320849. The next prime is 404320897. The reversal of 404320896 is 698023404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 404320896.

It is not an unprimeable number, because it can be changed into a prime (404320897) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652875 + ... + 653493.

Almost surely, 2^404320896 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 404320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691213200).

404320896 is an abundant number, since it is smaller than the sum of its proper divisors (978105504).

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

404320896 is an frugal number, since it uses more digits than its factorization.

404320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 404320896 is about 20107.7322440896. The cubic root of 404320896 is about 739.4498565048.

The spelling of 404320896 in words is "four hundred four million, three hundred twenty thousand, eight hundred ninety-six".