444312040 has 64 divisors (see below), whose sum is σ = 1016064000. Its totient is φ = 174843648.

The previous prime is 444312023. The next prime is 444312047. The reversal of 444312040 is 40213444.

It is not an unprimeable number, because it can be changed into a prime (444312047) 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, 756627 + ... + 757213.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2^444312040 is an apocalyptic number.

444312040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444312040 is an abundant number, since it is smaller than the sum of its proper divisors (571751960).

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

444312040 is a wasteful number, since it uses less digits than its factorization.

444312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 444312040 is about 21078.7105867508. The cubic root of 444312040 is about 763.0670382155.

Adding to 444312040 its reverse (40213444), we get a palindrome (484525484).

The spelling of 444312040 in words is "four hundred forty-four million, three hundred twelve thousand, forty".