444311440 has 20 divisors (see below), whose sum is σ = 1033024284. Its totient is φ = 177724544.

The previous prime is 444311419. The next prime is 444311443. The reversal of 444311440 is 44113444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 111175936 + 333135504 = 10544^2 + 18252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (444311443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2776867 + ... + 2777026.

Almost surely, 2^444311440 is an apocalyptic number.

444311440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444311440 is an abundant number, since it is smaller than the sum of its proper divisors (588712844).

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

444311440 is a wasteful number, since it uses less digits than its factorization.

444311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553906 (or 5553900 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 444311440 is about 21078.6963543764. The cubic root of 444311440 is about 763.0666947329.

Adding to 444311440 its reverse (44113444), we get a palindrome (488424884).

The spelling of 444311440 in words is "four hundred forty-four million, three hundred eleven thousand, four hundred forty".