416166261 has 24 divisors (see below), whose sum is σ = 646609824. Its totient is φ = 237394080.

The previous prime is 416166197. The next prime is 416166263. The reversal of 416166261 is 162661614.

It is a happy number.

It is not a de Polignac number, because 416166261 - 2⁶ = 416166197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416166263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95026 + ... + 99308.

It is an arithmetic number, because the mean of its divisors is an integer number (26942076).

Almost surely, 2^416166261 is an apocalyptic number.

It is an amenable number.

416166261 is a deficient number, since it is larger than the sum of its proper divisors (230443563).

416166261 is a wasteful number, since it uses less digits than its factorization.

416166261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4954 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 416166261 is about 20400.1534553052. The cubic root of 416166261 is about 746.6016686042.

The spelling of 416166261 in words is "four hundred sixteen million, one hundred sixty-six thousand, two hundred sixty-one".