442440180 has 144 divisors (see below), whose sum is σ = 1651837824. Its totient is φ = 93346560.

The previous prime is 442440179. The next prime is 442440209. The reversal of 442440180 is 81044244.

It is a happy number.

442440180 is a `hidden beast` number, since 4 + 42 + 440 + 180 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2875 + ... + 29885.

It is an arithmetic number, because the mean of its divisors is an integer number (11471096).

Almost surely, 2^442440180 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 442440180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825918912).

442440180 is an abundant number, since it is smaller than the sum of its proper divisors (1209397644).

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

442440180 is a wasteful number, since it uses less digits than its factorization.

442440180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27046 (or 27041 counting only the distinct ones).

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

The square root of 442440180 is about 21034.2620502836. The cubic root of 442440180 is about 761.9939446064.

The spelling of 442440180 in words is "four hundred forty-two million, four hundred forty thousand, one hundred eighty".