11465480 has 64 divisors (see below), whose sum is σ = 29438640. Its totient is φ = 3981312.

The previous prime is 11465479. The next prime is 11465483. The reversal of 11465480 is 8456411.

11465480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8444836 + 3020644 = 2906^2 + 1738^2 .

It is not an unprimeable number, because it can be changed into a prime (11465483) 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, 8192 + ... + 9488.

Almost surely, 2^11465480 is an apocalyptic number.

11465480 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 11465480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719320).

11465480 is an abundant number, since it is smaller than the sum of its proper divisors (17973160).

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

11465480 is a wasteful number, since it uses less digits than its factorization.

11465480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 11465480 is about 3386.0714700077. The cubic root of 11465480 is about 225.4917966937.

The spelling of 11465480 in words is "eleven million, four hundred sixty-five thousand, four hundred eighty".