444275136 has 168 divisors, whose sum is σ = 1331366400. Its totient is φ = 141488640.

The previous prime is 444275089. The next prime is 444275137. The reversal of 444275136 is 631572444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 444275136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444275137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481895 + ... + 2482073.

It is an arithmetic number, because the mean of its divisors is an integer number (7924800).

Almost surely, 2^444275136 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 444275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665683200).

444275136 is an abundant number, since it is smaller than the sum of its proper divisors (887091264).

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

444275136 is a wasteful number, since it uses less digits than its factorization.

444275136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 444275136 is about 21077.8351829594. The cubic root of 444275136 is about 763.0459111673.

The spelling of 444275136 in words is "four hundred forty-four million, two hundred seventy-five thousand, one hundred thirty-six".