444614144 has 80 divisors (see below), whose sum is σ = 971948208. Its totient is φ = 201940992.

The previous prime is 444614143. The next prime is 444614153. The reversal of 444614144 is 441416444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 444614144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444614143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445454 + ... + 446450.

Almost surely, 2^444614144 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 444614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485974104).

444614144 is an abundant number, since it is smaller than the sum of its proper divisors (527334064).

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

444614144 is an equidigital number, since it uses as much as digits as its factorization.

444614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The square root of 444614144 is about 21085.8754620243. The cubic root of 444614144 is about 763.2399447586.

The spelling of 444614144 in words is "four hundred forty-four million, six hundred fourteen thousand, one hundred forty-four".