440444000 has 96 divisors (see below), whose sum is σ = 1090908000. Its totient is φ = 174758400.

The previous prime is 440443943. The next prime is 440444021. The reversal of 440444000 is 444044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595631 + ... + 596369.

It is an arithmetic number, because the mean of its divisors is an integer number (11363625).

Almost surely, 2^440444000 is an apocalyptic number.

440444000 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 440444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545454000).

440444000 is an abundant number, since it is smaller than the sum of its proper divisors (650464000).

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

440444000 is a wasteful number, since it uses less digits than its factorization.

440444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 440444000 is about 20986.7577295780. The cubic root of 440444000 is about 760.8462411306.

Adding to 440444000 its reverse (444044), we get a palindrome (440888044).

The spelling of 440444000 in words is "four hundred forty million, four hundred forty-four thousand".