444404004 has 96 divisors (see below), whose sum is σ = 1239235200. Its totient is φ = 122357760.

The previous prime is 444403997. The next prime is 444404017. The reversal of 444404004 is 400404444.

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 31 ways as a sum of consecutive naturals, for example, 61662 + ... + 68490.

It is an arithmetic number, because the mean of its divisors is an integer number (12908700).

Almost surely, 2^444404004 is an apocalyptic number.

444404004 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 444404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619617600).

444404004 is an abundant number, since it is smaller than the sum of its proper divisors (794831196).

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

444404004 is a wasteful number, since it uses less digits than its factorization.

444404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6891 counting only the distinct ones).

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

The square root of 444404004 is about 21080.8919166149. The cubic root of 444404004 is about 763.1196812904.

Adding to 444404004 its reverse (400404444), we get a palindrome (844808448).

The spelling of 444404004 in words is "four hundred forty-four million, four hundred four thousand, four".