441333444 has 96 divisors (see below), whose sum is σ = 1112832000. Its totient is φ = 135717120.

The previous prime is 441333401. The next prime is 441333449. The reversal of 441333444 is 444333144.

It is a super-2 number, since 2×441333444² = 389550417585802272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (441333449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2217657 + ... + 2217855.

It is an arithmetic number, because the mean of its divisors is an integer number (11592000).

Almost surely, 2^441333444 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 441333444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556416000).

441333444 is an abundant number, since it is smaller than the sum of its proper divisors (671498556).

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

441333444 is a wasteful number, since it uses less digits than its factorization.

441333444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 431 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 441333444 is about 21007.9376427102. The cubic root of 441333444 is about 761.3580542851.

Adding to 441333444 its reverse (444333144), we get a palindrome (885666588).

The spelling of 441333444 in words is "four hundred forty-one million, three hundred thirty-three thousand, four hundred forty-four".