444312 has 96 divisors (see below), whose sum is σ = 1436400. Its totient is φ = 126720.

The previous prime is 444307. The next prime is 444341. The reversal of 444312 is 213444.

It is a Harshad number since it is a multiple of its sum of digits (18).

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.

444312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26128 + ... + 26144.

2⁴⁴⁴³¹² 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 444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718200).

444312 is an abundant number, since it is smaller than the sum of its proper divisors (992088).

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

444312 is a wasteful number, since it uses less digits than its factorization.

444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 33 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 444312 is about 666.5673259319. The cubic root of 444312 is about 76.3067015317.

Adding to 444312 its reverse (213444), we get a palindrome (657756).

It can be divided in two parts, 44 and 4312, that added together give a square (4356 = 66²).

The spelling of 444312 in words is "four hundred forty-four thousand, three hundred twelve", and thus it is an iban number.