444556224 has 252 divisors, whose sum is σ = 1562176200. Its totient is φ = 120185856.

The previous prime is 444556201. The next prime is 444556241. The reversal of 444556224 is 422655444.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535842 + ... + 536670.

Almost surely, 2^444556224 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 444556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781088100).

444556224 is an abundant number, since it is smaller than the sum of its proper divisors (1117619976).

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

444556224 is a wasteful number, since it uses less digits than its factorization.

444556224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 860 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 444556224 is about 21084.5019860560. The cubic root of 444556224 is about 763.2068008307.

The spelling of 444556224 in words is "four hundred forty-four million, five hundred fifty-six thousand, two hundred twenty-four".