12406400 has 48 divisors (see below), whose sum is σ = 30655590. Its totient is φ = 4961280.

The previous prime is 12406393. The next prime is 12406421. The reversal of 12406400 is 460421.

It can be written as a sum of positive squares in 3 ways, for example, as 7706176 + 4700224 = 2776^2 + 2168^2 .

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 5 ways as a sum of consecutive naturals, for example, 1262 + ... + 5138.

Almost surely, 2^12406400 is an apocalyptic number.

12406400 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 12406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327795).

12406400 is an abundant number, since it is smaller than the sum of its proper divisors (18249190).

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

12406400 is an equidigital number, since it uses as much as digits as its factorization.

12406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 12406400 is about 3522.2719940402. The cubic root of 12406400 is about 231.4987194906.

Adding to 12406400 its reverse (460421), we get a palindrome (12866821).

The spelling of 12406400 in words is "twelve million, four hundred six thousand, four hundred".