444004004 has 6 divisors (see below), whose sum is σ = 777007014. Its totient is φ = 222002000.

The previous prime is 444003997. The next prime is 444004037. The reversal of 444004004 is 400400444.

It can be written as a sum of positive squares in only one way, i.e., 313998400 + 130005604 = 17720^2 + 11402^2 .

444004004 is a modest number, since divided by 4004 gives 444 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500497 + ... + 55500504.

It is an arithmetic number, because the mean of its divisors is an integer number (129501169).

Almost surely, 2^444004004 is an apocalyptic number.

It is an amenable number.

444004004 is a deficient number, since it is larger than the sum of its proper divisors (333003010).

444004004 is a wasteful number, since it uses less digits than its factorization.

444004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111001005 (or 111001003 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 444004004 is about 21071.4025162067. The cubic root of 444004004 is about 762.8906558254.

Adding to 444004004 its reverse (400400444), we get a palindrome (844404448).

The spelling of 444004004 in words is "four hundred forty-four million, four thousand, four".