444724224 has 88 divisors (see below), whose sum is σ = 1354753728. Its totient is φ = 127057920.

The previous prime is 444724223. The next prime is 444724229. The reversal of 444724224 is 422427444.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444724223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11164 + ... + 31844.

Almost surely, 2^444724224 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 444724224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376864).

444724224 is an abundant number, since it is smaller than the sum of its proper divisors (910029504).

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

444724224 is a wasteful number, since it uses less digits than its factorization.

444724224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20711 (or 20693 counting only the distinct ones).

The product of its digits is 57344, while the sum is 33.

The square root of 444724224 is about 21088.4855786280. The cubic root of 444724224 is about 763.3029286000.

The spelling of 444724224 in words is "four hundred forty-four million, seven hundred twenty-four thousand, two hundred twenty-four".