442242180 has 60 divisors (see below), whose sum is σ = 1387335180. Its totient is φ = 117930816.

The previous prime is 442242169. The next prime is 442242181. The reversal of 442242180 is 81242244.

442242180 is a `hidden beast` number, since 442 + 2 + 4 + 218 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 377214084 = 8064^2 + 19422^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442242181) 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 19 ways as a sum of consecutive naturals, for example, 134875 + ... + 138114.

It is an arithmetic number, because the mean of its divisors is an integer number (23122253).

Almost surely, 2^442242180 is an apocalyptic number.

It is an amenable number.

442242180 is an abundant number, since it is smaller than the sum of its proper divisors (945093000).

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

442242180 is a wasteful number, since it uses less digits than its factorization.

442242180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273010 (or 272999 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 442242180 is about 21029.5549168307. The cubic root of 442242180 is about 761.8802589454.

The spelling of 442242180 in words is "four hundred forty-two million, two hundred forty-two thousand, one hundred eighty".