442421320 has 32 divisors (see below), whose sum is σ = 1085944320. Its totient is φ = 160880320.

The previous prime is 442421279. The next prime is 442421347. The reversal of 442421320 is 23124244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 442421291 and 442421300.

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 7 ways as a sum of consecutive naturals, for example, 502312 + ... + 503191.

It is an arithmetic number, because the mean of its divisors is an integer number (33935760).

Almost surely, 2^442421320 is an apocalyptic number.

442421320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442421320 is an abundant number, since it is smaller than the sum of its proper divisors (643523000).

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

442421320 is a wasteful number, since it uses less digits than its factorization.

442421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005525 (or 1005521 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 442421320 is about 21033.8137293264. The cubic root of 442421320 is about 761.9831172218.

Adding to 442421320 its reverse (23124244), we get a palindrome (465545564).

The spelling of 442421320 in words is "four hundred forty-two million, four hundred twenty-one thousand, three hundred twenty".