417020417 has 32 divisors (see below), whose sum is σ = 491443200. Its totient is φ = 349876800.

The previous prime is 417020413. The next prime is 417020419. The reversal of 417020417 is 714020714.

It is a cyclic number.

It is not a de Polignac number, because 417020417 - 2² = 417020413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417020413) 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, 2329634 + ... + 2329812.

It is an arithmetic number, because the mean of its divisors is an integer number (15357600).

Almost surely, 2^417020417 is an apocalyptic number.

It is an amenable number.

417020417 is a deficient number, since it is larger than the sum of its proper divisors (74422783).

417020417 is a wasteful number, since it uses less digits than its factorization.

417020417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 417020417 is about 20421.0777629390. The cubic root of 417020417 is about 747.1121044255.

The spelling of 417020417 in words is "four hundred seventeen million, twenty thousand, four hundred seventeen".