442522160 has 80 divisors (see below), whose sum is σ = 1087430400. Its totient is φ = 167010048.

The previous prime is 442522153. The next prime is 442522163. The reversal of 442522160 is 61225244.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (442522163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527021 + ... + 527859.

It is an arithmetic number, because the mean of its divisors is an integer number (13592880).

Almost surely, 2^442522160 is an apocalyptic number.

442522160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442522160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543715200).

442522160 is an abundant number, since it is smaller than the sum of its proper divisors (644908240).

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

442522160 is a wasteful number, since it uses less digits than its factorization.

442522160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 442522160 is about 21036.2106853872. The cubic root of 442522160 is about 762.0410051346.

The spelling of 442522160 in words is "four hundred forty-two million, five hundred twenty-two thousand, one hundred sixty".