442004202 has 80 divisors (see below), whose sum is σ = 1039515840. Its totient is φ = 140107968.

The previous prime is 442004137. The next prime is 442004203. The reversal of 442004202 is 202400244.

442004202 is a `hidden beast` number, since 44 + 200 + 420 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (442004203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1166049 + ... + 1166427.

It is an arithmetic number, because the mean of its divisors is an integer number (12993948).

Almost surely, 2^442004202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442004202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519757920).

442004202 is an abundant number, since it is smaller than the sum of its proper divisors (597511638).

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

442004202 is a wasteful number, since it uses less digits than its factorization.

442004202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 442004202 is about 21023.8959757700. The cubic root of 442004202 is about 761.7435742054.

Adding to 442004202 its reverse (202400244), we get a palindrome (644404446).

The spelling of 442004202 in words is "four hundred forty-two million, four thousand, two hundred two".