444220224 has 112 divisors (see below), whose sum is σ = 1379695488. Its totient is φ = 123475968.

The previous prime is 444220223. The next prime is 444220241. The reversal of 444220224 is 422022444.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×444220224² = 394663214821220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 444220194 and 444220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444220223) 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, 45262 + ... + 54194.

Almost surely, 2^444220224 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 444220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689847744).

444220224 is an abundant number, since it is smaller than the sum of its proper divisors (935475264).

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

444220224 is a wasteful number, since it uses less digits than its factorization.

444220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444220224 is about 21076.5325421427. The cubic root of 444220224 is about 763.0144726134.

Adding to 444220224 its reverse (422022444), we get a palindrome (866242668).

It can be divided in two parts, 444220 and 224, that added together give a palindrome (444444).

The spelling of 444220224 in words is "four hundred forty-four million, two hundred twenty thousand, two hundred twenty-four".