404004444 has 24 divisors (see below), whose sum is σ = 952013328. Its totient is φ = 133334400.

The previous prime is 404004401. The next prime is 404004451. The reversal of 404004444 is 444400404.

404004444 is a modest number, since divided by 4444 gives 404 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165457 + ... + 167880.

It is an arithmetic number, because the mean of its divisors is an integer number (39667222).

Almost surely, 2^404004444 is an apocalyptic number.

It is an amenable number.

404004444 is an abundant number, since it is smaller than the sum of its proper divisors (548008884).

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

404004444 is a wasteful number, since it uses less digits than its factorization.

404004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333445 (or 333443 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 404004444 is about 20099.8617905696. The cubic root of 404004444 is about 739.2568897601.

Adding to 404004444 its reverse (444400404), we get a palindrome (848404848).

It can be divided in two parts, 40400 and 4444, that added together give a palindrome (44844).

The spelling of 404004444 in words is "four hundred four million, four thousand, four hundred forty-four".