12446400 has 84 divisors (see below), whose sum is σ = 40850312. Its totient is φ = 3317760.

The previous prime is 12446353. The next prime is 12446419. The reversal of 12446400 is 464421.

Added to its reverse (464421) it gives a triangular number (12910821 = T₅₀₈₁).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3504 + ... + 6096.

Almost surely, 2^12446400 is an apocalyptic number.

12446400 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 12446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20425156).

12446400 is an abundant number, since it is smaller than the sum of its proper divisors (28403912).

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

12446400 is a wasteful number, since it uses less digits than its factorization.

12446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 12446400 is about 3527.9455778115. The cubic root of 12446400 is about 231.7472475291.

Adding to 12446400 its reverse (464421), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12446400 in words is "twelve million, four hundred forty-six thousand, four hundred".