442138527 has 16 divisors (see below), whose sum is σ = 655936000. Its totient is φ = 294346872.

The previous prime is 442138519. The next prime is 442138537. The reversal of 442138527 is 725831244.

It is a happy number.

It is not a de Polignac number, because 442138527 - 2³ = 442138519 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442138491 and 442138500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442138517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8874 + ... + 31032.

It is an arithmetic number, because the mean of its divisors is an integer number (40996000).

Almost surely, 2^442138527 is an apocalyptic number.

442138527 is a deficient number, since it is larger than the sum of its proper divisors (213797473).

442138527 is a wasteful number, since it uses less digits than its factorization.

442138527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22907 (or 22901 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 442138527 is about 21027.0903122615. The cubic root of 442138527 is about 761.8207309698.

The spelling of 442138527 in words is "four hundred forty-two million, one hundred thirty-eight thousand, five hundred twenty-seven".