446656 has 28 divisors (see below), whose sum is σ = 1013968. Its totient is φ = 191232.

The previous prime is 446647. The next prime is 446657. The reversal of 446656 is 656644.

446656 is digitally balanced in base 3, 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 (28).

It is not an unprimeable number, because it can be changed into a prime (446657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51 + ... + 946.

446656 is a Friedman number, since it can be written as 6^6+4*(6+4)^5, using all its digits and the basic arithmetic operations.

2⁴⁴⁶⁶⁵⁶ 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 446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506984).

446656 is an abundant number, since it is smaller than the sum of its proper divisors (567312).

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

446656 is an equidigital number, since it uses as much as digits as its factorization.

446656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1006 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 446656 is about 668.3232750698. The cubic root of 446656 is about 76.4406534186.

It can be divided in two parts, 4 and 46656, that multiplied together give a square (186624 = 432²).

The spelling of 446656 in words is "four hundred forty-six thousand, six hundred fifty-six".