444640440 has 256 divisors, whose sum is σ = 1492992000. Its totient is φ = 105431040.

The previous prime is 444640387. The next prime is 444640447. The reversal of 444640440 is 44046444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444640398 and 444640407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444640447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4995916 + ... + 4996004.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2^444640440 is an apocalyptic number.

444640440 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 444640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496000).

444640440 is an abundant number, since it is smaller than the sum of its proper divisors (1048351560).

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

444640440 is a wasteful number, since it uses less digits than its factorization.

444640440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 444640440 is about 21086.4989981742. The cubic root of 444640440 is about 763.2549913349.

Adding to 444640440 its reverse (44046444), we get a palindrome (488686884).

It can be divided in two parts, 4446404 and 40, that added together give a palindrome (4446444).

The spelling of 444640440 in words is "four hundred forty-four million, six hundred forty thousand, four hundred forty".