12414480 has 160 divisors (see below), whose sum is σ = 43497216. Its totient is φ = 2906112.

The previous prime is 12414469. The next prime is 12414511. The reversal of 12414480 is 8441421.

12414480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 12414480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71674 + ... + 71846.

Almost surely, 2^12414480 is an apocalyptic number.

12414480 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 12414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21748608).

12414480 is an abundant number, since it is smaller than the sum of its proper divisors (31082736).

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

12414480 is a wasteful number, since it uses less digits than its factorization.

12414480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 12414480 is about 3523.4187942962. The cubic root of 12414480 is about 231.5489651629.

The spelling of 12414480 in words is "twelve million, four hundred fourteen thousand, four hundred eighty".