14438880 has 144 divisors (see below), whose sum is σ = 50791104. Its totient is φ = 3732480.

The previous prime is 14438873. The next prime is 14438887. The reversal of 14438880 is 8883441.

It is an interprime number because it is at equal distance from previous prime (14438873) and next prime (14438887).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14438887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53145 + ... + 53415.

It is an arithmetic number, because the mean of its divisors is an integer number (352716).

Almost surely, 2^14438880 is an apocalyptic number.

14438880 is a gapful number since it is divisible by the number (10) 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 14438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25395552).

14438880 is an abundant number, since it is smaller than the sum of its proper divisors (36352224).

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

14438880 is a wasteful number, since it uses less digits than its factorization.

14438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 14438880 is about 3799.8526287213. The cubic root of 14438880 is about 243.5068423265.

The spelling of 14438880 in words is "fourteen million, four hundred thirty-eight thousand, eight hundred eighty".