444120424 has 32 divisors (see below), whose sum is σ = 913479840. Its totient is φ = 200750400.

The previous prime is 444120403. The next prime is 444120433. The reversal of 444120424 is 424021444.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1987 + ... + 29869.

It is an arithmetic number, because the mean of its divisors is an integer number (28546245).

Almost surely, 2^444120424 is an apocalyptic number.

444120424 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 444120424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456739920).

444120424 is an abundant number, since it is smaller than the sum of its proper divisors (469359416).

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

444120424 is a wasteful number, since it uses less digits than its factorization.

444120424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28081 (or 28077 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 444120424 is about 21074.1648470349. The cubic root of 444120424 is about 762.9573278733.

Adding to 444120424 its reverse (424021444), we get a palindrome (868141868).

The spelling of 444120424 in words is "four hundred forty-four million, one hundred twenty thousand, four hundred twenty-four".