417161304 has 288 divisors, whose sum is σ = 1411693920. Its totient is φ = 110702592.

The previous prime is 417161291. The next prime is 417161341. The reversal of 417161304 is 403161714.

It is a happy number.

417161304 is a `hidden beast` number, since 41 + 7 + 1 + 613 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4300584 + ... + 4300680.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^417161304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417161304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

417161304 is an abundant number, since it is smaller than the sum of its proper divisors (994532616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417161304 is a wasteful number, since it uses less digits than its factorization.

417161304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 417161304 is about 20424.5270202274. The cubic root of 417161304 is about 747.1962302280.

The spelling of 417161304 in words is "four hundred seventeen million, one hundred sixty-one thousand, three hundred four".