420617517 has 32 divisors (see below), whose sum is σ = 598155264. Its totient is φ = 262440000.

The previous prime is 420617513. The next prime is 420617539. The reversal of 420617517 is 715716024.

It is not a de Polignac number, because 420617517 - 2² = 420617513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420617513) 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 31 ways as a sum of consecutive naturals, for example, 863448 + ... + 863934.

It is an arithmetic number, because the mean of its divisors is an integer number (18692352).

Almost surely, 2^420617517 is an apocalyptic number.

It is an amenable number.

420617517 is a deficient number, since it is larger than the sum of its proper divisors (177537747).

420617517 is a wasteful number, since it uses less digits than its factorization.

420617517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 420617517 is about 20508.9618703629. The cubic root of 420617517 is about 749.2540832792.

The spelling of 420617517 in words is "four hundred twenty million, six hundred seventeen thousand, five hundred seventeen".