412116261 has 16 divisors (see below), whose sum is σ = 582724224. Its totient is φ = 258177024.

The previous prime is 412116253. The next prime is 412116281. The reversal of 412116261 is 162611214.

It is a happy number.

It is not a de Polignac number, because 412116261 - 2³ = 412116253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412116281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28320 + ... + 40326.

It is an arithmetic number, because the mean of its divisors is an integer number (36420264).

Almost surely, 2^412116261 is an apocalyptic number.

It is an amenable number.

412116261 is a deficient number, since it is larger than the sum of its proper divisors (170607963).

412116261 is a wasteful number, since it uses less digits than its factorization.

412116261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12700.

The product of its digits is 576, while the sum is 24.

The square root of 412116261 is about 20300.6468123555. The cubic root of 412116261 is about 744.1718714243.

Adding to 412116261 its reverse (162611214), we get a palindrome (574727475).

The spelling of 412116261 in words is "four hundred twelve million, one hundred sixteen thousand, two hundred sixty-one".