442138257 has 48 divisors (see below), whose sum is σ = 726485760. Its totient is φ = 266490000.

The previous prime is 442138253. The next prime is 442138267. The reversal of 442138257 is 752831244.

It is a happy number.

It is not a de Polignac number, because 442138257 - 2² = 442138253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442138253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670594 + ... + 671252.

It is an arithmetic number, because the mean of its divisors is an integer number (15135120).

Almost surely, 2^442138257 is an apocalyptic number.

It is an amenable number.

442138257 is a deficient number, since it is larger than the sum of its proper divisors (284347503).

442138257 is a wasteful number, since it uses less digits than its factorization.

442138257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

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

The square root of 442138257 is about 21027.0838919713. The cubic root of 442138257 is about 761.8205758965.

The spelling of 442138257 in words is "four hundred forty-two million, one hundred thirty-eight thousand, two hundred fifty-seven".