417115621 has 16 divisors (see below), whose sum is σ = 483437808. Its totient is φ = 356428800.

The previous prime is 417115619. The next prime is 417115631. The reversal of 417115621 is 126511714.

It can be written as a sum of positive squares in 8 ways, for example, as 82628100 + 334487521 = 9090^2 + 18289^2 .

It is not a de Polignac number, because 417115621 - 2¹ = 417115619 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 417115621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417115631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990 + ... + 28951.

It is an arithmetic number, because the mean of its divisors is an integer number (30214863).

Almost surely, 2^417115621 is an apocalyptic number.

It is an amenable number.

417115621 is a deficient number, since it is larger than the sum of its proper divisors (66322187).

417115621 is a wasteful number, since it uses less digits than its factorization.

417115621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31032.

The product of its digits is 1680, while the sum is 28.

The square root of 417115621 is about 20423.4086528180. The cubic root of 417115621 is about 747.1689542789.

The spelling of 417115621 in words is "four hundred seventeen million, one hundred fifteen thousand, six hundred twenty-one".