441112364 has 48 divisors (see below), whose sum is σ = 964432896. Its totient is φ = 171504000.

The previous prime is 441112351. The next prime is 441112367. The reversal of 441112364 is 463211144.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (441112367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183917 + ... + 186299.

It is an arithmetic number, because the mean of its divisors is an integer number (20092352).

Almost surely, 2^441112364 is an apocalyptic number.

441112364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441112364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482216448).

441112364 is an abundant number, since it is smaller than the sum of its proper divisors (523320532).

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

441112364 is a wasteful number, since it uses less digits than its factorization.

441112364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3004 counting only the distinct ones).

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

The square root of 441112364 is about 21002.6751629406. The cubic root of 441112364 is about 761.2309023891.

It can be divided in two parts, 44 and 1112364, that multiplied together give a square (48944016 = 6996²).

The spelling of 441112364 in words is "four hundred forty-one million, one hundred twelve thousand, three hundred sixty-four".