444130000 has 100 divisors (see below), whose sum is σ = 1122615648. Its totient is φ = 169840000.

The previous prime is 444129989. The next prime is 444130003. The reversal of 444130000 is 31444.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229035 + ... + 230965.

Almost surely, 2^444130000 is an apocalyptic number.

444130000 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 444130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561307824).

444130000 is an abundant number, since it is smaller than the sum of its proper divisors (678485648).

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

444130000 is a wasteful number, since it uses less digits than its factorization.

444130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 444130000 is about 21074.3920434256. The cubic root of 444130000 is about 762.9628113912.

Adding to 444130000 its reverse (31444), we get a palindrome (444161444).

The spelling of 444130000 in words is "four hundred forty-four million, one hundred thirty thousand".