444323232 has 240 divisors, whose sum is σ = 1386959112. Its totient is φ = 139345920.

The previous prime is 444323141. The next prime is 444323233. The reversal of 444323232 is 232323444.

It can be written as a sum of positive squares in 4 ways, for example, as 227527056 + 216796176 = 15084^2 + 14724^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 444323196 and 444323205.

It is not an unprimeable number, because it can be changed into a prime (444323233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3932008 + ... + 3932120.

Almost surely, 2^444323232 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 444323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693479556).

444323232 is an abundant number, since it is smaller than the sum of its proper divisors (942635880).

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

444323232 is a wasteful number, since it uses less digits than its factorization.

444323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 444323232 is about 21078.9760662135. The cubic root of 444323232 is about 763.0734452552.

Adding to 444323232 its reverse (232323444), we get a palindrome (676646676).

The spelling of 444323232 in words is "four hundred forty-four million, three hundred twenty-three thousand, two hundred thirty-two".