12466400 has 36 divisors (see below), whose sum is σ = 30435552. Its totient is φ = 4986240.

The previous prime is 12466397. The next prime is 12466411. The reversal of 12466400 is 466421.

It is a happy number.

12466400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12466400² = 310822257920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6992 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (845432).

Almost surely, 2^12466400 is an apocalyptic number.

12466400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12466400 is an abundant number, since it is smaller than the sum of its proper divisors (17969152).

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

12466400 is a wasteful number, since it uses less digits than its factorization.

12466400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15603 (or 15590 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 12466400 is about 3530.7789508832. The cubic root of 12466400 is about 231.8713119051.

The spelling of 12466400 in words is "twelve million, four hundred sixty-six thousand, four hundred".