444525140 has 96 divisors (see below), whose sum is σ = 1034691840. Its totient is φ = 159667200.

The previous prime is 444525119. The next prime is 444525143. The reversal of 444525140 is 41525444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444525143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1581800 + ... + 1582080.

It is an arithmetic number, because the mean of its divisors is an integer number (10778040).

Almost surely, 2^444525140 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 444525140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517345920).

444525140 is an abundant number, since it is smaller than the sum of its proper divisors (590166700).

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

444525140 is a wasteful number, since it uses less digits than its factorization.

444525140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 444525140 is about 21083.7648440690. The cubic root of 444525140 is about 763.1890122498.

The spelling of 444525140 in words is "four hundred forty-four million, five hundred twenty-five thousand, one hundred forty".