442142337 has 24 divisors (see below), whose sum is σ = 738526656. Its totient is φ = 233216928.

The previous prime is 442142333. The next prime is 442142357. The reversal of 442142337 is 733241244.

It is not a de Polignac number, because 442142337 - 2² = 442142333 is a prime.

It is a super-3 number, since 3×442142337³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (442142333) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 113773 + ... + 117594.

It is an arithmetic number, because the mean of its divisors is an integer number (30771944).

Almost surely, 2^442142337 is an apocalyptic number.

It is an amenable number.

442142337 is a deficient number, since it is larger than the sum of its proper divisors (296384319).

442142337 is a wasteful number, since it uses less digits than its factorization.

442142337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231397 (or 231390 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 442142337 is about 21027.1809094800. The cubic root of 442142337 is about 761.8229192196.

The spelling of 442142337 in words is "four hundred forty-two million, one hundred forty-two thousand, three hundred thirty-seven".