444363640 has 128 divisors (see below), whose sum is σ = 1216166400. Its totient is φ = 142732800.

The previous prime is 444363613. The next prime is 444363671. The reversal of 444363640 is 46363444.

It is a junction number, because it is equal to n+sod(n) for n = 444363596 and 444363605.

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 31 ways as a sum of consecutive naturals, for example, 536907 + ... + 537733.

It is an arithmetic number, because the mean of its divisors is an integer number (9501300).

Almost surely, 2^444363640 is an apocalyptic number.

444363640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444363640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608083200).

444363640 is an abundant number, since it is smaller than the sum of its proper divisors (771802760).

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

444363640 is a wasteful number, since it uses less digits than its factorization.

444363640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 444363640 is about 21079.9345350027. The cubic root of 444363640 is about 763.0965765666.

The spelling of 444363640 in words is "four hundred forty-four million, three hundred sixty-three thousand, six hundred forty".