444020000 has 90 divisors (see below), whose sum is σ = 1099736253. Its totient is φ = 176416000.

The previous prime is 444019993. The next prime is 444020009. The reversal of 444020000 is 20444.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 192987664 + 251032336 = 13892^2 + 15844^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14900.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444020009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2979926 + ... + 2980074.

Almost surely, 2^444020000 is an apocalyptic number.

444020000 is a gapful number since it is divisible by the number (40) 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 444020000

444020000 is an abundant number, since it is smaller than the sum of its proper divisors (655716253).

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

444020000 is an frugal number, since it uses more digits than its factorization.

444020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 444020000 is about 21071.7820793591. The cubic root of 444020000 is about 762.8998171935.

Multiplying 444020000 by its product of nonzero digits (128), we get a square (56834560000 = 238400²).

Adding to 444020000 its reverse (20444), we get a palindrome (444040444).

The spelling of 444020000 in words is "four hundred forty-four million, twenty thousand".