444315032 has 64 divisors (see below), whose sum is σ = 1009108800. Its totient is φ = 179343360.

The previous prime is 444315031. The next prime is 444315037. The reversal of 444315032 is 230513444.

It is a super-2 number, since 2×444315032² = 394831695322322048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444314992 and 444315010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444315031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63248 + ... + 69920.

It is an arithmetic number, because the mean of its divisors is an integer number (15767325).

Almost surely, 2^444315032 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 444315032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504554400).

444315032 is an abundant number, since it is smaller than the sum of its proper divisors (564793768).

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

444315032 is a wasteful number, since it uses less digits than its factorization.

444315032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 444315032 is about 21078.7815587144. The cubic root of 444315032 is about 763.0687510444.

Adding to 444315032 its reverse (230513444), we get a palindrome (674828476).

The spelling of 444315032 in words is "four hundred forty-four million, three hundred fifteen thousand, thirty-two".