440140000 has 120 divisors (see below), whose sum is σ = 1104115320. Its totient is φ = 172608000.

The previous prime is 440139991. The next prime is 440140003. The reversal of 440140000 is 41044.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440140003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1179814 + ... + 1180186.

It is an arithmetic number, because the mean of its divisors is an integer number (9200961).

Almost surely, 2^440140000 is an apocalyptic number.

440140000 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 440140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552057660).

440140000 is an abundant number, since it is smaller than the sum of its proper divisors (663975320).

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

440140000 is an equidigital number, since it uses as much as digits as its factorization.

440140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 440140000 is about 20979.5138170550. The cubic root of 440140000 is about 760.6711522866.

Adding to 440140000 its reverse (41044), we get a palindrome (440181044).

The spelling of 440140000 in words is "four hundred forty million, one hundred forty thousand".