12406464 has 168 divisors, whose sum is σ = 43269408. Its totient is φ = 3317760.

The previous prime is 12406463. The next prime is 12406483. The reversal of 12406464 is 46460421.

12406464 is a `hidden beast` number, since 12 + 4 + 0 + 646 + 4 = 666.

12406464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (12406463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68454 + ... + 68634.

It is an arithmetic number, because the mean of its divisors is an integer number (257556).

Almost surely, 2^12406464 is an apocalyptic number.

12406464 is a gapful number since it is divisible by the number (14) 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 12406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634704).

12406464 is an abundant number, since it is smaller than the sum of its proper divisors (30862944).

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

12406464 is a wasteful number, since it uses less digits than its factorization.

12406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 12406464 is about 3522.2810790736. The cubic root of 12406464 is about 231.4991175618.

Adding to 12406464 its reverse (46460421), we get a palindrome (58866885).

The spelling of 12406464 in words is "twelve million, four hundred six thousand, four hundred sixty-four".