442666944 has 140 divisors (see below), whose sum is σ = 1389668544. Its totient is φ = 138848256.

The previous prime is 442666879. The next prime is 442666951. The reversal of 442666944 is 449666244.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 442666944.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 85617 + ... + 90639.

Almost surely, 2^442666944 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 442666944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694834272).

442666944 is an abundant number, since it is smaller than the sum of its proper divisors (947001600).

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

442666944 is a wasteful number, since it uses less digits than its factorization.

442666944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5045 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 442666944 is about 21039.6517081438. The cubic root of 442666944 is about 762.1241040348.

The spelling of 442666944 in words is "four hundred forty-two million, six hundred sixty-six thousand, nine hundred forty-four".