14460 has 24 divisors (see below), whose sum is σ = 40656. Its totient is φ = 3840.

The previous prime is 14449. The next prime is 14461. The reversal of 14460 is 6441.

14460 = 36² + 37² + ... + 44².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14461) by changing a digit.

14460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (1694).

2¹⁴⁴⁶⁰ is an apocalyptic number.

14460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14460 is an abundant number, since it is smaller than the sum of its proper divisors (26196).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328).

14460 is a wasteful number, since it uses less digits than its factorization.

14460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14460 is about 120.2497401245. The cubic root of 14460 is about 24.3625511711.

It can be divided in two parts, 14 and 460, that added together give a palindrome (474).

The spelling of 14460 in words is "fourteen thousand, four hundred sixty".