442685664 has 72 divisors (see below), whose sum is σ = 1274888160. Its totient is φ = 145686528.

The previous prime is 442685647. The next prime is 442685687. The reversal of 442685664 is 466586244.

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

It is a super-2 number, since 2×442685664² = 391941194222241792, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13024 + ... + 32480.

It is an arithmetic number, because the mean of its divisors is an integer number (17706780).

Almost surely, 2^442685664 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 442685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637444080).

442685664 is an abundant number, since it is smaller than the sum of its proper divisors (832202496).

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

442685664 is a wasteful number, since it uses less digits than its factorization.

442685664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19552 (or 19541 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 442685664 is about 21040.0965777251. The cubic root of 442685664 is about 762.1348470718.

The spelling of 442685664 in words is "four hundred forty-two million, six hundred eighty-five thousand, six hundred sixty-four".