12804456 has 64 divisors (see below), whose sum is σ = 36864000. Its totient is φ = 3630528.

The previous prime is 12804443. The next prime is 12804481. The reversal of 12804456 is 65440821.

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, 33241 + ... + 33623.

It is an arithmetic number, because the mean of its divisors is an integer number (576000).

Almost surely, 2^12804456 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 12804456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432000).

12804456 is an abundant number, since it is smaller than the sum of its proper divisors (24059544).

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

12804456 is a wasteful number, since it uses less digits than its factorization.

12804456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 12804456 is about 3578.3314547426. The cubic root of 12804456 is about 233.9485605391.

The spelling of 12804456 in words is "twelve million, eight hundred four thousand, four hundred fifty-six".