404036304 has 160 divisors (see below), whose sum is σ = 1236587520. Its totient is φ = 111283200.

The previous prime is 404036279. The next prime is 404036317. The reversal of 404036304 is 403630404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1914759 + ... + 1914969.

It is an arithmetic number, because the mean of its divisors is an integer number (7728672).

Almost surely, 2^404036304 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 404036304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618293760).

404036304 is an abundant number, since it is smaller than the sum of its proper divisors (832551216).

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

404036304 is a wasteful number, since it uses less digits than its factorization.

404036304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 404036304 is about 20100.6543177082. The cubic root of 404036304 is about 739.2763219765.

Adding to 404036304 its reverse (403630404), we get a palindrome (807666708).

The spelling of 404036304 in words is "four hundred four million, thirty-six thousand, three hundred four".