440065680 has 80 divisors (see below), whose sum is σ = 1374715584. Its totient is φ = 116446720.

The previous prime is 440065673. The next prime is 440065687. The reversal of 440065680 is 86560044.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (440065673) and next prime (440065687).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (440065687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24442 + ... + 38438.

Almost surely, 2^440065680 is an apocalyptic number.

440065680 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 440065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687357792).

440065680 is an abundant number, since it is smaller than the sum of its proper divisors (934649904).

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

440065680 is a wasteful number, since it uses less digits than its factorization.

440065680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14144 (or 14138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 440065680 is about 20977.7424905541. The cubic root of 440065680 is about 760.6283354084.

The spelling of 440065680 in words is "four hundred forty million, sixty-five thousand, six hundred eighty".