14480 has 20 divisors (see below), whose sum is σ = 33852. Its totient is φ = 5760.

The previous prime is 14479. The next prime is 14489. The reversal of 14480 is 8441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 12544 = 44^2 + 112^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 170.

2¹⁴⁴⁸⁰ is an apocalyptic number.

14480 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 14480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926).

14480 is an abundant number, since it is smaller than the sum of its proper divisors (19372).

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

14480 is a wasteful number, since it uses less digits than its factorization.

14480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 14480 is about 120.3328716519. The cubic root of 14480 is about 24.3737781548.

It can be divided in two parts, 14 and 480, that added together give a palindrome (494).

The spelling of 14480 in words is "fourteen thousand, four hundred eighty".