416404161 has 12 divisors (see below), whose sum is σ = 614270592. Its totient is φ = 271696056.

The previous prime is 416404151. The next prime is 416404207. The reversal of 416404161 is 161404614.

416404161 is a `hidden beast` number, since 4 + 1 + 640 + 4 + 16 + 1 = 666.

It is not a de Polignac number, because 416404161 - 2⁶ = 416404097 is a prime.

It is a super-2 number, since 2×416404161² = 346784850596227842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416404151) 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 11 ways as a sum of consecutive naturals, for example, 491781 + ... + 492626.

It is an arithmetic number, because the mean of its divisors is an integer number (51189216).

Almost surely, 2^416404161 is an apocalyptic number.

It is an amenable number.

416404161 is a deficient number, since it is larger than the sum of its proper divisors (197866431).

416404161 is a wasteful number, since it uses less digits than its factorization.

416404161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984460 (or 984457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 416404161 is about 20405.9834607401. The cubic root of 416404161 is about 746.7439055895.

Adding to 416404161 its reverse (161404614), we get a palindrome (577808775).

The spelling of 416404161 in words is "four hundred sixteen million, four hundred four thousand, one hundred sixty-one".