440044400 has 60 divisors (see below), whose sum is σ = 1059514032. Its totient is φ = 175633920.

The previous prime is 440044379. The next prime is 440044433. The reversal of 440044400 is 4440044.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245909 + ... + 247691.

Almost surely, 2^440044400 is an apocalyptic number.

440044400 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 440044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529757016).

440044400 is an abundant number, since it is smaller than the sum of its proper divisors (619469632).

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

440044400 is a wasteful number, since it uses less digits than its factorization.

440044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2407 counting only the distinct ones).

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

The square root of 440044400 is about 20977.2352801793. The cubic root of 440044400 is about 760.6160747902.

Adding to 440044400 its reverse (4440044), we get a palindrome (444484444).

The spelling of 440044400 in words is "four hundred forty million, forty-four thousand, four hundred".