12800466 has 72 divisors (see below), whose sum is σ = 33718464. Its totient is φ = 3492720.

The previous prime is 12800453. The next prime is 12800467. The reversal of 12800466 is 66400821.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12800467) 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 35 ways as a sum of consecutive naturals, for example, 19971 + ... + 20601.

It is an arithmetic number, because the mean of its divisors is an integer number (468312).

Almost surely, 2^12800466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12800466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859232).

12800466 is an abundant number, since it is smaller than the sum of its proper divisors (20917998).

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

12800466 is a wasteful number, since it uses less digits than its factorization.

12800466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12800466 is about 3577.7738888868. The cubic root of 12800466 is about 233.9242577565.

The spelling of 12800466 in words is "twelve million, eight hundred thousand, four hundred sixty-six".