4456656 has 30 divisors (see below), whose sum is σ = 12472850. Its totient is φ = 1485504.

The previous prime is 4456651. The next prime is 4456663. The reversal of 4456656 is 6566544.

It is a happy number.

4456656 is a `hidden beast` number, since 44 + 566 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4410000 + 46656 = 2100^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁹ + 4¹¹ + 5 + 6 + 6² + 5³ + 6² .

It is a self number, because there is not a number n which added to its sum of digits gives 4456656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15331 + ... + 15618.

Almost surely, 2^4456656 is an apocalyptic number.

It is an amenable number.

4456656 is an abundant number, since it is smaller than the sum of its proper divisors (8016194).

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

4456656 is a wasteful number, since it uses less digits than its factorization.

4456656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30963 (or 30954 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 4456656 is about 2111.0793447902. The cubic root of 4456656 is about 164.5645820151.

The spelling of 4456656 in words is "four million, four hundred fifty-six thousand, six hundred fifty-six".