406564664256 has 448 divisors, whose sum is σ = 1308772185600. Its totient is φ = 123321139200.

The previous prime is 406564664221. The next prime is 406564664257. The reversal of 406564664256 is 652466465604.

406564664256 is a `hidden beast` number, since 40 + 6 + 56 + 466 + 42 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406564664257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86115976 + ... + 86120696.

Almost surely, 2^406564664256 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 406564664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654386092800).

406564664256 is an abundant number, since it is smaller than the sum of its proper divisors (902207521344).

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

406564664256 is a wasteful number, since it uses less digits than its factorization.

406564664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 406564664256 in words is "four hundred six billion, five hundred sixty-four million, six hundred sixty-four thousand, two hundred fifty-six".