440100864 has 240 divisors, whose sum is σ = 1506304800. Its totient is φ = 125411328.

The previous prime is 440100833. The next prime is 440100887. The reversal of 440100864 is 468001044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161027 + ... + 1161405.

It is an arithmetic number, because the mean of its divisors is an integer number (6276270).

Almost surely, 2^440100864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753152400).

440100864 is an abundant number, since it is smaller than the sum of its proper divisors (1066203936).

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

440100864 is an equidigital number, since it uses as much as digits as its factorization.

440100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 440100864 is about 20978.5810768984. The cubic root of 440100864 is about 760.6486060448.

The spelling of 440100864 in words is "four hundred forty million, one hundred thousand, eight hundred sixty-four".