442565216 has 48 divisors (see below), whose sum is σ = 932175216. Its totient is φ = 206094336.

The previous prime is 442565203. The next prime is 442565219. The reversal of 442565216 is 612565244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442565219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48575 + ... + 56961.

It is an arithmetic number, because the mean of its divisors is an integer number (19420317).

Almost surely, 2^442565216 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 442565216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466087608).

442565216 is an abundant number, since it is smaller than the sum of its proper divisors (489610000).

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

442565216 is a wasteful number, since it uses less digits than its factorization.

442565216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8503 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 442565216 is about 21037.2340387229. The cubic root of 442565216 is about 762.0657190559.

The spelling of 442565216 in words is "four hundred forty-two million, five hundred sixty-five thousand, two hundred sixteen".