12466280 has 64 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 4610304.

The previous prime is 12466243. The next prime is 12466297. The reversal of 12466280 is 8266421.

12466280 = 31² + 32² + ... + 334².

12466280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35546 + ... + 35894.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 2^12466280 is an apocalyptic number.

12466280 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 12466280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

12466280 is an abundant number, since it is smaller than the sum of its proper divisors (17773720).

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

12466280 is a wasteful number, since it uses less digits than its factorization.

12466280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 12466280 is about 3530.7619574251. The cubic root of 12466280 is about 231.8705679146.

The spelling of 12466280 in words is "twelve million, four hundred sixty-six thousand, two hundred eighty".