441223224 has 96 divisors (see below), whose sum is σ = 1222063920. Its totient is φ = 131963904.

The previous prime is 441223213. The next prime is 441223243. The reversal of 441223224 is 422322144.

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 junction number, because it is equal to n+sod(n) for n = 441223194 and 441223203.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 426612 + ... + 427644.

Almost surely, 2^441223224 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 441223224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611031960).

441223224 is an abundant number, since it is smaller than the sum of its proper divisors (780840696).

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

441223224 is a wasteful number, since it uses less digits than its factorization.

441223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1088 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 441223224 is about 21005.3141847486. The cubic root of 441223224 is about 761.2946676910.

Adding to 441223224 its reverse (422322144), we get a palindrome (863545368).

The spelling of 441223224 in words is "four hundred forty-one million, two hundred twenty-three thousand, two hundred twenty-four".