444224424 has 64 divisors (see below), whose sum is σ = 1272176640. Its totient is φ = 126624960.

The previous prime is 444224423. The next prime is 444224437. The reversal of 444224424 is 424422444.

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 = 444224391 and 444224400.

It is not an unprimeable number, because it can be changed into a prime (444224423) 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, 74929 + ... + 80639.

It is an arithmetic number, because the mean of its divisors is an integer number (19877760).

Almost surely, 2^444224424 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 444224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636088320).

444224424 is an abundant number, since it is smaller than the sum of its proper divisors (827952216).

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

444224424 is a wasteful number, since it uses less digits than its factorization.

444224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6186 counting only the distinct ones).

The product of its digits is 32768, while the sum is 30.

The square root of 444224424 is about 21076.6321787899. The cubic root of 444224424 is about 763.0168773145.

Adding to 444224424 its reverse (424422444), we get a palindrome (868646868).

The spelling of 444224424 in words is "four hundred forty-four million, two hundred twenty-four thousand, four hundred twenty-four".