441312 has 24 divisors (see below), whose sum is σ = 1158696. Its totient is φ = 147072.

The previous prime is 441307. The next prime is 441319. The reversal of 441312 is 213144.

441312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441291 and 441300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2203 + ... + 2394.

It is an arithmetic number, because the mean of its divisors is an integer number (48279).

2⁴⁴¹³¹² is an apocalyptic number.

It is an amenable number.

441312 is an abundant number, since it is smaller than the sum of its proper divisors (717384).

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

441312 is a wasteful number, since it uses less digits than its factorization.

441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4602 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 441312 is about 664.3131791557. The cubic root of 441312 is about 76.1345722848.

Adding to 441312 its reverse (213144), we get a palindrome (654456).

The spelling of 441312 in words is "four hundred forty-one thousand, three hundred twelve", and thus it is an iban number.