444413440 has 40 divisors (see below), whose sum is σ = 1065556800. Its totient is φ = 177764352.

The previous prime is 444413419. The next prime is 444413449. The reversal of 444413440 is 44314444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 444413399 and 444413408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444413449) 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 3 ways as a sum of consecutive naturals, for example, 84240 + ... + 89359.

It is an arithmetic number, because the mean of its divisors is an integer number (26638920).

Almost surely, 2^444413440 is an apocalyptic number.

444413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444413440 is an abundant number, since it is smaller than the sum of its proper divisors (621143360).

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

444413440 is an equidigital number, since it uses as much as digits as its factorization.

444413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173622 (or 173606 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 444413440 is about 21081.1157199993. The cubic root of 444413440 is about 763.1250823417.

Adding to 444413440 its reverse (44314444), we get a palindrome (488727884).

The spelling of 444413440 in words is "four hundred forty-four million, four hundred thirteen thousand, four hundred forty".