417220801 has 8 divisors (see below), whose sum is σ = 424801440. Its totient is φ = 409657248.

The previous prime is 417220777. The next prime is 417220807. The reversal of 417220801 is 108022714.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 417220801 - 2¹⁵ = 417188033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417220807) 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 7 ways as a sum of consecutive naturals, for example, 51510 + ... + 59056.

It is an arithmetic number, because the mean of its divisors is an integer number (53100180).

Almost surely, 2^417220801 is an apocalyptic number.

It is an amenable number.

417220801 is a deficient number, since it is larger than the sum of its proper divisors (7580639).

417220801 is an equidigital number, since it uses as much as digits as its factorization.

417220801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543.

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 417220801 is about 20425.9834769345. The cubic root of 417220801 is about 747.2317511167.

The spelling of 417220801 in words is "four hundred seventeen million, two hundred twenty thousand, eight hundred one".