442160784 has 90 divisors (see below), whose sum is σ = 1340019330. Its totient is φ = 136041984.

The previous prime is 442160783. The next prime is 442160857. The reversal of 442160784 is 487061244.

442160784 is a `hidden beast` number, since 4 + 42 + 1 + 607 + 8 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16646400 + 425514384 = 4080^2 + 20628^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442160783) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15252 + ... + 33420.

Almost surely, 2^442160784 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 442160784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670009665).

442160784 is an abundant number, since it is smaller than the sum of its proper divisors (897858546).

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

442160784 is a wasteful number, since it uses less digits than its factorization.

442160784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18209 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 442160784 is about 21027.6195514376. The cubic root of 442160784 is about 761.8335139616.

The spelling of 442160784 in words is "four hundred forty-two million, one hundred sixty thousand, seven hundred eighty-four".