444000444 has 48 divisors (see below), whose sum is σ = 1074644256. Its totient is φ = 142560000.

The previous prime is 444000437. The next prime is 444000463.

444000444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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, 39894 + ... + 49794.

It is an arithmetic number, because the mean of its divisors is an integer number (22388422).

Almost surely, 2^444000444 is an apocalyptic number.

It is an amenable number.

444000444 is an abundant number, since it is smaller than the sum of its proper divisors (630643812).

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

444000444 is a wasteful number, since it uses less digits than its factorization.

444000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444000444 is about 21071.3180413566. The cubic root of 444000444 is about 762.8886168813. Note that the first 3 decimals are identical.

It can be divided in two parts, 444000 and 444, that added together give a palindrome (444444).

The spelling of 444000444 in words is "four hundred forty-four million, four hundred forty-four", and thus it is an aban number.