14144480 has 96 divisors (see below), whose sum is σ = 38937024. Its totient is φ = 4755456.

The previous prime is 14144479. The next prime is 14144521. The reversal of 14144480 is 8444141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81674 + ... + 81846.

It is an arithmetic number, because the mean of its divisors is an integer number (405594).

Almost surely, 2^14144480 is an apocalyptic number.

14144480 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 14144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468512).

14144480 is an abundant number, since it is smaller than the sum of its proper divisors (24792544).

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

14144480 is a wasteful number, since it uses less digits than its factorization.

14144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 14144480 is about 3760.9147823369. The cubic root of 14144480 is about 241.8404795306.

The spelling of 14144480 in words is "fourteen million, one hundred forty-four thousand, four hundred eighty".