442663328 has 48 divisors (see below), whose sum is σ = 895134240. Its totient is φ = 215367936.

The previous prime is 442663297. The next prime is 442663339. The reversal of 442663328 is 823366244.

It is a junction number, because it is equal to n+sod(n) for n = 442663291 and 442663300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534851 + ... + 535677.

It is an arithmetic number, because the mean of its divisors is an integer number (18648630).

Almost surely, 2^442663328 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 442663328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447567120).

442663328 is an abundant number, since it is smaller than the sum of its proper divisors (452470912).

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

442663328 is a wasteful number, since it uses less digits than its factorization.

442663328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

The square root of 442663328 is about 21039.5657749869. The cubic root of 442663328 is about 762.1220288492.

The spelling of 442663328 in words is "four hundred forty-two million, six hundred sixty-three thousand, three hundred twenty-eight".