444024420 has 96 divisors (see below), whose sum is σ = 1459331328. Its totient is φ = 98744832.

The previous prime is 444024419. The next prime is 444024421. The reversal of 444024420 is 24420444.

It is an interprime number because it is at equal distance from previous prime (444024419) and next prime (444024421).

It is not an unprimeable number, because it can be changed into a prime (444024421) 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, 1254 + ... + 29826.

It is an arithmetic number, because the mean of its divisors is an integer number (15201368).

Almost surely, 2^444024420 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 444024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729665664).

444024420 is an abundant number, since it is smaller than the sum of its proper divisors (1015306908).

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

444024420 is a wasteful number, since it uses less digits than its factorization.

444024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28629 (or 28627 counting only the distinct ones).

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

The square root of 444024420 is about 21071.8869586945. The cubic root of 444024420 is about 762.9023486156.

Adding to 444024420 its reverse (24420444), we get a palindrome (468444864).

It can be divided in two parts, 444024 and 420, that added together give a palindrome (444444).

The spelling of 444024420 in words is "four hundred forty-four million, twenty-four thousand, four hundred twenty".