442002120 has 64 divisors (see below), whose sum is σ = 1515438720. Its totient is φ = 101028864.

The previous prime is 442002103. The next prime is 442002133. The reversal of 442002120 is 21200244.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 442002120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262257 + ... + 263936.

It is an arithmetic number, because the mean of its divisors is an integer number (23678730).

Almost surely, 2^442002120 is an apocalyptic number.

442002120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442002120 is an abundant number, since it is smaller than the sum of its proper divisors (1073436600).

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

442002120 is a wasteful number, since it uses less digits than its factorization.

442002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526214 (or 526210 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 442002120 is about 21023.8464606266. The cubic root of 442002120 is about 761.7423781741.

Adding to 442002120 its reverse (21200244), we get a palindrome (463202364).

The spelling of 442002120 in words is "four hundred forty-two million, two thousand, one hundred twenty".