442189692 has 120 divisors (see below), whose sum is σ = 1328231520. Its totient is φ = 125660160.

The previous prime is 442189687. The next prime is 442189747. The reversal of 442189692 is 296981244.

It is a super-2 number, since 2×442189692² = 391063447422109728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 546184 + ... + 546992.

It is an arithmetic number, because the mean of its divisors is an integer number (11068596).

Almost surely, 2^442189692 is an apocalyptic number.

442189692 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 442189692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664115760).

442189692 is an abundant number, since it is smaller than the sum of its proper divisors (886041828).

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

442189692 is a wasteful number, since it uses less digits than its factorization.

442189692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1062 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 442189692 is about 21028.3069218613. The cubic root of 442189692 is about 761.8501162204.

The spelling of 442189692 in words is "four hundred forty-two million, one hundred eighty-nine thousand, six hundred ninety-two".