442216992 has 96 divisors (see below), whose sum is σ = 1330560000. Its totient is φ = 125975808.

The previous prime is 442216981. The next prime is 442217003. The reversal of 442216992 is 299612244.

It is an interprime number because it is at equal distance from previous prime (442216981) and next prime (442217003).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 442216992.

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, 294259 + ... + 295757.

It is an arithmetic number, because the mean of its divisors is an integer number (13860000).

Almost surely, 2^442216992 is an apocalyptic number.

442216992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280000).

442216992 is an abundant number, since it is smaller than the sum of its proper divisors (888343008).

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

442216992 is a wasteful number, since it uses less digits than its factorization.

442216992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1950 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 442216992 is about 21028.9560368555. The cubic root of 442216992 is about 761.8657943185.

The spelling of 442216992 in words is "four hundred forty-two million, two hundred sixteen thousand, nine hundred ninety-two".