12946401 has 48 divisors (see below), whose sum is σ = 22329216. Its totient is φ = 7147008.

The previous prime is 12946393. The next prime is 12946421. The reversal of 12946401 is 10464921.

12946401 is a `hidden beast` number, since 12 + 9 + 4 + 640 + 1 = 666.

12946401 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12946401 - 2³ = 12946393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12946421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45606 + ... + 45888.

It is an arithmetic number, because the mean of its divisors is an integer number (465192).

Almost surely, 2^12946401 is an apocalyptic number.

It is an amenable number.

12946401 is a deficient number, since it is larger than the sum of its proper divisors (9382815).

12946401 is a wasteful number, since it uses less digits than its factorization.

12946401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12946401 is about 3598.1107542709. The cubic root of 12946401 is about 234.8098718698.

The spelling of 12946401 in words is "twelve million, nine hundred forty-six thousand, four hundred one".