442517217 has 16 divisors (see below), whose sum is σ = 619612800. Its totient is φ = 280380672.

The previous prime is 442517183. The next prime is 442517221. The reversal of 442517217 is 712715244.

It is not a de Polignac number, because 442517217 - 2¹² = 442513121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442517717) 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, 9592 + ... + 31257.

It is an arithmetic number, because the mean of its divisors is an integer number (38725800).

Almost surely, 2^442517217 is an apocalyptic number.

It is an amenable number.

442517217 is a deficient number, since it is larger than the sum of its proper divisors (177095583).

442517217 is a wasteful number, since it uses less digits than its factorization.

442517217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41032.

The product of its digits is 15680, while the sum is 33.

The square root of 442517217 is about 21036.0931971695. The cubic root of 442517217 is about 762.0381677756.

The spelling of 442517217 in words is "four hundred forty-two million, five hundred seventeen thousand, two hundred seventeen".