440112400 has 240 divisors, whose sum is σ = 1325165184. Its totient is φ = 136765440.

The previous prime is 440112389. The next prime is 440112403. The reversal of 440112400 is 4211044.

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 (440112403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3894744 + ... + 3894856.

Almost surely, 2^440112400 is an apocalyptic number.

440112400 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 440112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662582592).

440112400 is an abundant number, since it is smaller than the sum of its proper divisors (885052784).

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

440112400 is a wasteful number, since it uses less digits than its factorization.

440112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 440112400 is about 20978.8560221953. The cubic root of 440112400 is about 760.6552520710.

Adding to 440112400 its reverse (4211044), we get a palindrome (444323444).

The spelling of 440112400 in words is "four hundred forty million, one hundred twelve thousand, four hundred".