444130500 has 144 divisors (see below), whose sum is σ = 1422150912. Its totient is φ = 107624000.

The previous prime is 444130469. The next prime is 444130537. The reversal of 444130500 is 5031444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180277 + ... + 182723.

It is an arithmetic number, because the mean of its divisors is an integer number (9876048).

Almost surely, 2^444130500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711075456).

444130500 is an abundant number, since it is smaller than the sum of its proper divisors (978020412).

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

444130500 is a wasteful number, since it uses less digits than its factorization.

444130500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 444130500 is about 21074.4039061607. The cubic root of 444130500 is about 762.9630977047.

Adding to 444130500 its reverse (5031444), we get a palindrome (449161944).

The spelling of 444130500 in words is "four hundred forty-four million, one hundred thirty thousand, five hundred".