442932180 has 96 divisors (see below), whose sum is σ = 1340895360. Its totient is φ = 108864000.

The previous prime is 442932179. The next prime is 442932187. The reversal of 442932180 is 81239244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442932187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36930 + ... + 47430.

It is an arithmetic number, because the mean of its divisors is an integer number (13967660).

Almost surely, 2^442932180 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 442932180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670447680).

442932180 is an abundant number, since it is smaller than the sum of its proper divisors (897963180).

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

442932180 is a wasteful number, since it uses less digits than its factorization.

442932180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10569 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 442932180 is about 21045.9540054615. The cubic root of 442932180 is about 762.2762894735.

The spelling of 442932180 in words is "four hundred forty-two million, nine hundred thirty-two thousand, one hundred eighty".