444211136 has 56 divisors (see below), whose sum is σ = 896477760. Its totient is φ = 218365952.

The previous prime is 444211133. The next prime is 444211151. The reversal of 444211136 is 631112444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444211133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1728320 + ... + 1728576.

Almost surely, 2^444211136 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 444211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448238880).

444211136 is an abundant number, since it is smaller than the sum of its proper divisors (452266624).

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

444211136 is a wasteful number, since it uses less digits than its factorization.

444211136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 611 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 444211136 is about 21076.3169458044. The cubic root of 444211136 is about 763.0092692462.

The spelling of 444211136 in words is "four hundred forty-four million, two hundred eleven thousand, one hundred thirty-six".