444213224 has 96 divisors (see below), whose sum is σ = 1061260200. Its totient is φ = 172730880.

The previous prime is 444213223. The next prime is 444213233. The reversal of 444213224 is 422312444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73650724 + 370562500 = 8582^2 + 19250^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 444213193 and 444213202.

It is not an unprimeable number, because it can be changed into a prime (444213221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310142 + ... + 311570.

Almost surely, 2^444213224 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 444213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530630100).

444213224 is an abundant number, since it is smaller than the sum of its proper divisors (617046976).

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

444213224 is a wasteful number, since it uses less digits than its factorization.

444213224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1512 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 444213224 is about 21076.3664800174. The cubic root of 444213224 is about 763.0104647444.

Adding to 444213224 its reverse (422312444), we get a palindrome (866525668).

The spelling of 444213224 in words is "four hundred forty-four million, two hundred thirteen thousand, two hundred twenty-four".