442002220 has 48 divisors (see below), whose sum is σ = 1016191008. Its totient is φ = 160156160.

The previous prime is 442002163. The next prime is 442002269. The reversal of 442002220 is 22200244.

It is a junction number, because it is equal to n+sod(n) for n = 442002194 and 442002203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61032 + ... + 67888.

It is an arithmetic number, because the mean of its divisors is an integer number (21170646).

Almost surely, 2^442002220 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 442002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508095504).

442002220 is an abundant number, since it is smaller than the sum of its proper divisors (574188788).

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

442002220 is a wasteful number, since it uses less digits than its factorization.

442002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170 (or 7168 counting only the distinct ones).

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

The square root of 442002220 is about 21023.8488388782. The cubic root of 442002220 is about 761.7424356204.

Adding to 442002220 its reverse (22200244), we get a palindrome (464202464).

The spelling of 442002220 in words is "four hundred forty-two million, two thousand, two hundred twenty".