444330000 has 150 divisors (see below), whose sum is σ = 1554200934. Its totient is φ = 118464000.

The previous prime is 444329983. The next prime is 444330001. The reversal of 444330000 is 33444.

It can be written as a sum of positive squares in 5 ways, for example, as 188457984 + 255872016 = 13728^2 + 15996^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (444330001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 87532 + ... + 92468.

Almost surely, 2^444330000 is an apocalyptic number.

444330000 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 444330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777100467).

444330000 is an abundant number, since it is smaller than the sum of its proper divisors (1109870934).

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

444330000 is a wasteful number, since it uses less digits than its factorization.

444330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 444330000 is about 21079.1366047094. The cubic root of 444330000 is about 763.0773196530.

Adding to 444330000 its reverse (33444), we get a palindrome (444363444).

It can be divided in two parts, 4443 and 30000, that added together give a palindrome (34443).

The spelling of 444330000 in words is "four hundred forty-four million, three hundred thirty thousand".