12360480 has 96 divisors (see below), whose sum is σ = 42493248. Its totient is φ = 2995200.

The previous prime is 12360473. The next prime is 12360497. The reversal of 12360480 is 8406321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12360480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4110 + ... + 6450.

It is an arithmetic number, because the mean of its divisors is an integer number (442638).

Almost surely, 2^12360480 is an apocalyptic number.

12360480 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 12360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21246624).

12360480 is an abundant number, since it is smaller than the sum of its proper divisors (30132768).

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

12360480 is a wasteful number, since it uses less digits than its factorization.

12360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12360480 is about 3515.7474312015. The cubic root of 12360480 is about 231.2127497828.

The spelling of 12360480 in words is "twelve million, three hundred sixty thousand, four hundred eighty".