440440000 has 420 divisors, whose sum is σ = 1477489552. Its totient is φ = 126720000.

The previous prime is 440439997. The next prime is 440440009. The reversal of 440440000 is 44044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (440440009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33879994 + ... + 33880006.

Almost surely, 2^440440000 is an apocalyptic number.

440440000 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 440440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738744776).

440440000 is an abundant number, since it is smaller than the sum of its proper divisors (1037049552).

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

440440000 is a wasteful number, since it uses less digits than its factorization.

440440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 440440000 is about 20986.6624311728. The cubic root of 440440000 is about 760.8439378532.

Adding to 440440000 its reverse (44044), we get a palindrome (440484044).

Multiplying 440440000 by its reverse (44044), we get a square (19398739360000 = 4404400²).

440440000 divided by its reverse (44044) gives a 4-th power (10000 = 10⁴).

The spelling of 440440000 in words is "four hundred forty million, four hundred forty thousand".