442202020 has 36 divisors (see below), whose sum is σ = 1005559380. Its totient is φ = 163273344.

The previous prime is 442202017. The next prime is 442202021. The reversal of 442202020 is 20202244.

It can be written as a sum of positive squares in 6 ways, for example, as 171138724 + 271063296 = 13082^2 + 16464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442201985 and 442202003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442202021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62035 + ... + 68794.

It is an arithmetic number, because the mean of its divisors is an integer number (27932205).

Almost surely, 2^442202020 is an apocalyptic number.

It is an amenable number.

442202020 is an abundant number, since it is smaller than the sum of its proper divisors (563357360).

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

442202020 is a wasteful number, since it uses less digits than its factorization.

442202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130864 (or 130849 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 442202020 is about 21028.6000485054. The cubic root of 442202020 is about 761.8571961389.

Adding to 442202020 its reverse (20202244), we get a palindrome (462404264).

The spelling of 442202020 in words is "four hundred forty-two million, two hundred two thousand, twenty".