442200220 has 96 divisors (see below), whose sum is σ = 1169634816. Its totient is φ = 136416000.

The previous prime is 442200217. The next prime is 442200229. The reversal of 442200220 is 22002244.

It is a junction number, because it is equal to n+sod(n) for n = 442200194 and 442200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442200229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154119 + ... + 156961.

It is an arithmetic number, because the mean of its divisors is an integer number (12183696).

Almost surely, 2^442200220 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 442200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584817408).

442200220 is an abundant number, since it is smaller than the sum of its proper divisors (727434596).

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

442200220 is a wasteful number, since it uses less digits than its factorization.

442200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2969 counting only the distinct ones).

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

The square root of 442200220 is about 21028.5572496070. The cubic root of 442200220 is about 761.8561624147.

Adding to 442200220 its reverse (22002244), we get a palindrome (464202464).

It can be divided in two parts, 4 and 42200220, that added together give a palindrome (42200224).

The spelling of 442200220 in words is "four hundred forty-two million, two hundred thousand, two hundred twenty".