444115152 has 120 divisors (see below), whose sum is σ = 1349476128. Its totient is φ = 135532800.

The previous prime is 444115151. The next prime is 444115201. The reversal of 444115152 is 251511444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444115151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244327 + ... + 246137.

Almost surely, 2^444115152 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 444115152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674738064).

444115152 is an abundant number, since it is smaller than the sum of its proper divisors (905360976).

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

444115152 is a wasteful number, since it uses less digits than its factorization.

444115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1960 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 444115152 is about 21074.0397646014. The cubic root of 444115152 is about 762.9543089271.

Adding to 444115152 its reverse (251511444), we get a palindrome (695626596).

The spelling of 444115152 in words is "four hundred forty-four million, one hundred fifteen thousand, one hundred fifty-two".