442660008 has 256 divisors, whose sum is σ = 1418342400. Its totient is φ = 112250880.

The previous prime is 442660003. The next prime is 442660013. The reversal of 442660008 is 800066244.

It is an interprime number because it is at equal distance from previous prime (442660003) and next prime (442660013).

It is not an unprimeable number, because it can be changed into a prime (442660003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6234613 + ... + 6234683.

It is an arithmetic number, because the mean of its divisors is an integer number (5540400).

Almost surely, 2^442660008 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 442660008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709171200).

442660008 is an abundant number, since it is smaller than the sum of its proper divisors (975682392).

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

442660008 is a wasteful number, since it uses less digits than its factorization.

442660008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 442660008 is about 21039.4868758722. The cubic root of 442660008 is about 762.1201235249.

The spelling of 442660008 in words is "four hundred forty-two million, six hundred sixty thousand, eight".