114480 has 80 divisors (see below), whose sum is σ = 401760. Its totient is φ = 29952.

The previous prime is 114479. The next prime is 114487. The reversal of 114480 is 84411.

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114487) 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, 2134 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2¹¹⁴⁴⁸⁰ is an apocalyptic number.

114480 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 114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

114480 is an abundant number, since it is smaller than the sum of its proper divisors (287280).

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

114480 is a wasteful number, since it uses less digits than its factorization.

114480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114480 is about 338.3489323169. The cubic root of 114480 is about 48.5560340074.

Adding to 114480 its reverse (84411), we get a palindrome (198891).

The spelling of 114480 in words is "one hundred fourteen thousand, four hundred eighty".