444120020 has 24 divisors (see below), whose sum is σ = 937492584. Its totient is φ = 176726016.

The previous prime is 444120011. The next prime is 444120023. The reversal of 444120020 is 20021444.

It can be written as a sum of positive squares in 4 ways, for example, as 1943236 + 442176784 = 1394^2 + 21028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444120023) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 53669 + ... + 61388.

It is an arithmetic number, because the mean of its divisors is an integer number (39062191).

Almost surely, 2^444120020 is an apocalyptic number.

It is an amenable number.

444120020 is an abundant number, since it is smaller than the sum of its proper divisors (493372564).

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

444120020 is a wasteful number, since it uses less digits than its factorization.

444120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115259 (or 115257 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 444120020 is about 21074.1552618367. The cubic root of 444120020 is about 762.9570965285.

Adding to 444120020 its reverse (20021444), we get a palindrome (464141464).

The spelling of 444120020 in words is "four hundred forty-four million, one hundred twenty thousand, twenty".