444125140 has 48 divisors (see below), whose sum is σ = 980718480. Its totient is φ = 168698880.

The previous prime is 444125089. The next prime is 444125197. The reversal of 444125140 is 41521444.

It can be written as a sum of positive squares in 8 ways, for example, as 11664 + 444113476 = 108^2 + 21074^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29104 + ... + 41656.

It is an arithmetic number, because the mean of its divisors is an integer number (20431635).

Almost surely, 2^444125140 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 444125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490359240).

444125140 is an abundant number, since it is smaller than the sum of its proper divisors (536593340).

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

444125140 is a wasteful number, since it uses less digits than its factorization.

444125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 444125140 is about 21074.2767372928. The cubic root of 444125140 is about 762.9600284126.

Adding to 444125140 its reverse (41521444), we get a palindrome (485646584).

The spelling of 444125140 in words is "four hundred forty-four million, one hundred twenty-five thousand, one hundred forty".