442220120 has 32 divisors (see below), whose sum is σ = 996256800. Its totient is φ = 176663808.

The previous prime is 442220113. The next prime is 442220143. The reversal of 442220120 is 21022244.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 26972 + ... + 40148.

It is an arithmetic number, because the mean of its divisors is an integer number (31133025).

Almost surely, 2^442220120 is an apocalyptic number.

442220120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442220120 is an abundant number, since it is smaller than the sum of its proper divisors (554036680).

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

442220120 is a wasteful number, since it uses less digits than its factorization.

442220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14027 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 442220120 is about 21029.0304103637. The cubic root of 442220120 is about 761.8675906543.

Adding to 442220120 its reverse (21022244), we get a palindrome (463242364).

It can be divided in two parts, 4422 and 20120, that added together give a palindrome (24542).

The spelling of 442220120 in words is "four hundred forty-two million, two hundred twenty thousand, one hundred twenty".