444800040 has 64 divisors (see below), whose sum is σ = 1335787200. Its totient is φ = 118490112.

The previous prime is 444799987. The next prime is 444800047. The reversal of 444800040 is 40008444.

444800040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (444800047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223771 + ... + 225749.

It is an arithmetic number, because the mean of its divisors is an integer number (20871675).

Almost surely, 2^444800040 is an apocalyptic number.

444800040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444800040 is an abundant number, since it is smaller than the sum of its proper divisors (890987160).

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

444800040 is a wasteful number, since it uses less digits than its factorization.

444800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 444800040 is about 21090.2830706465. The cubic root of 444800040 is about 763.3463017614.

Adding to 444800040 its reverse (40008444), we get a palindrome (484808484).

It can be divided in two parts, 44 and 4800040, that added together give a palindrome (4800084).

The spelling of 444800040 in words is "four hundred forty-four million, eight hundred thousand, forty".