12468408 has 64 divisors (see below), whose sum is σ = 33744000. Its totient is φ = 3825792.

The previous prime is 12468403. The next prime is 12468431. The reversal of 12468408 is 80486421.

It is a super-2 number, since 2×12468408² = 310922396108928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12468403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16503 + ... + 17241.

It is an arithmetic number, because the mean of its divisors is an integer number (527250).

Almost surely, 2^12468408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12468408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16872000).

12468408 is an abundant number, since it is smaller than the sum of its proper divisors (21275592).

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

12468408 is a wasteful number, since it uses less digits than its factorization.

12468408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12468408 is about 3531.0632959493. The cubic root of 12468408 is about 231.8837606365.

The spelling of 12468408 in words is "twelve million, four hundred sixty-eight thousand, four hundred eight".