442221320 has 16 divisors (see below), whose sum is σ = 994998060. Its totient is φ = 176888512.

The previous prime is 442221317. The next prime is 442221337. The reversal of 442221320 is 23122244.

It can be written as a sum of positive squares in 2 ways, for example, as 431891524 + 10329796 = 20782^2 + 3214^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442221292 and 442221301.

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 3 ways as a sum of consecutive naturals, for example, 5527727 + ... + 5527806.

Almost surely, 2^442221320 is an apocalyptic number.

442221320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442221320 is an abundant number, since it is smaller than the sum of its proper divisors (552776740).

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

442221320 is a wasteful number, since it uses less digits than its factorization.

442221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055544 (or 11055540 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 442221320 is about 21029.0589423303. The cubic root of 442221320 is about 761.8682797834.

Adding to 442221320 its reverse (23122244), we get a palindrome (465343564).

The spelling of 442221320 in words is "four hundred forty-two million, two hundred twenty-one thousand, three hundred twenty".