441364224 has 288 divisors, whose sum is σ = 1471680000. Its totient is φ = 114573312.

The previous prime is 441364223. The next prime is 441364237. The reversal of 441364224 is 422463144.

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 = 441364191 and 441364200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441364223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2962102 + ... + 2962250.

It is an arithmetic number, because the mean of its divisors is an integer number (5110000).

Almost surely, 2^441364224 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 441364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735840000).

441364224 is an abundant number, since it is smaller than the sum of its proper divisors (1030315776).

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

441364224 is a wasteful number, since it uses less digits than its factorization.

441364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 441364224 is about 21008.6702101775. The cubic root of 441364224 is about 761.3757537188.

The spelling of 441364224 in words is "four hundred forty-one million, three hundred sixty-four thousand, two hundred twenty-four".