442656 has 72 divisors (see below), whose sum is σ = 1326780. Its totient is φ = 139776.

The previous prime is 442633. The next prime is 442691. The reversal of 442656 is 656244.

It is a happy number.

442656 is a `hidden beast` number, since 4 + 4 + 2 + 656 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 435600 + 7056 = 660^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8326 + ... + 8378.

2⁴⁴²⁶⁵⁶ 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 442656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663390).

442656 is an abundant number, since it is smaller than the sum of its proper divisors (884124).

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

442656 is a wasteful number, since it uses less digits than its factorization.

442656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 442656 is about 665.3239812302. The cubic root of 442656 is about 76.2117823350.

The spelling of 442656 in words is "four hundred forty-two thousand, six hundred fifty-six".