442111656 has 128 divisors (see below), whose sum is σ = 1344660480. Its totient is φ = 118250496.

The previous prime is 442111633. The next prime is 442111661. The reversal of 442111656 is 656111244.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 807975 + ... + 808521.

It is an arithmetic number, because the mean of its divisors is an integer number (10505160).

Almost surely, 2^442111656 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 442111656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672330240).

442111656 is an abundant number, since it is smaller than the sum of its proper divisors (902548824).

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

442111656 is a wasteful number, since it uses less digits than its factorization.

442111656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 442111656 is about 21026.4513411084. The cubic root of 442111656 is about 761.8052974210.

The spelling of 442111656 in words is "four hundred forty-two million, one hundred eleven thousand, six hundred fifty-six".