404400304 has 80 divisors (see below), whose sum is σ = 983865600. Its totient is φ = 156430080.

The previous prime is 404400287. The next prime is 404400349. The reversal of 404400304 is 403004404.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 182467 + ... + 184669.

It is an arithmetic number, because the mean of its divisors is an integer number (12298320).

Almost surely, 2^404400304 is an apocalyptic number.

404400304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491932800).

404400304 is an abundant number, since it is smaller than the sum of its proper divisors (579465296).

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

404400304 is a wasteful number, since it uses less digits than its factorization.

404400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 404400304 is about 20109.7067109394. The cubic root of 404400304 is about 739.4982622729.

Adding to 404400304 its reverse (403004404), we get a palindrome (807404708).

The spelling of 404400304 in words is "four hundred four million, four hundred thousand, three hundred four".