11480 has 32 divisors (see below), whose sum is σ = 30240. Its totient is φ = 3840.

The previous prime is 11471. The next prime is 11483. The reversal of 11480 is 8411.

11480 = T₁ + T₂ + ... + T₄₀.

It is a happy number.

11480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11480 is a nontrivial binomial coefficient, being equal to C(42, 3).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11483) by changing a digit.

11480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 40-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2¹¹⁴⁸⁰ is an apocalyptic number.

11480 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 11480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

11480 is an abundant number, since it is smaller than the sum of its proper divisors (18760).

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

11480 is a wasteful number, since it uses less digits than its factorization.

11480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11480 is about 107.1447618878. The cubic root of 11480 is about 22.5586944905.

11480 divided by its sum of digits (14) gives a triangular number (820 = T₄₀).

Adding to 11480 its reverse (8411), we get a palindrome (19891).

The spelling of 11480 in words is "eleven thousand, four hundred eighty".