440064720 has 240 divisors, whose sum is σ = 1581662160. Its totient is φ = 109264896.

The previous prime is 440064701. The next prime is 440064721. The reversal of 440064720 is 27460044.

440064720 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 8 ways, for example, as 22924944 + 417139776 = 4788^2 + 20424^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440064721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921566 + ... + 1921794.

It is an arithmetic number, because the mean of its divisors is an integer number (6590259).

Almost surely, 2^440064720 is an apocalyptic number.

440064720 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 440064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790831080).

440064720 is an abundant number, since it is smaller than the sum of its proper divisors (1141597440).

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

440064720 is a wasteful number, since it uses less digits than its factorization.

440064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 440064720 is about 20977.7196091472. The cubic root of 440064720 is about 760.6277823063.

The spelling of 440064720 in words is "four hundred forty million, sixty-four thousand, seven hundred twenty".