444132312 has 128 divisors (see below), whose sum is σ = 1246156800. Its totient is φ = 131010048.

The previous prime is 444132307. The next prime is 444132331. The reversal of 444132312 is 213231444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 911733 + ... + 912219.

It is an arithmetic number, because the mean of its divisors is an integer number (9735600).

Almost surely, 2^444132312 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 444132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623078400).

444132312 is an abundant number, since it is smaller than the sum of its proper divisors (802024488).

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

444132312 is a wasteful number, since it uses less digits than its factorization.

444132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 444132312 is about 21074.4468966566. The cubic root of 444132312 is about 762.9641353031.

Adding to 444132312 its reverse (213231444), we get a palindrome (657363756).

It can be divided in two parts, 444132 and 312, that added together give a palindrome (444444).

The spelling of 444132312 in words is "four hundred forty-four million, one hundred thirty-two thousand, three hundred twelve".