442138307 has 12 divisors (see below), whose sum is σ = 483524064. Its totient is φ = 404071200.

The previous prime is 442138283. The next prime is 442138313. The reversal of 442138307 is 703831244.

It is not a de Polignac number, because 442138307 - 2¹⁴ = 442121923 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442138327) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4118 + ... + 30020.

It is an arithmetic number, because the mean of its divisors is an integer number (40293672).

Almost surely, 2^442138307 is an apocalyptic number.

442138307 is a deficient number, since it is larger than the sum of its proper divisors (41385757).

442138307 is a wasteful number, since it uses less digits than its factorization.

442138307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26030 (or 26017 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 442138307 is about 21027.0850809141. The cubic root of 442138307 is about 761.8206046138.

The spelling of 442138307 in words is "four hundred forty-two million, one hundred thirty-eight thousand, three hundred seven".