414112361 has 12 divisors (see below), whose sum is σ = 449916480. Its totient is φ = 380980080.

The previous prime is 414112351. The next prime is 414112381. The reversal of 414112361 is 163211414.

It is not a de Polignac number, because 414112361 - 2⁶ = 414112297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414112301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48620 + ... + 56498.

It is an arithmetic number, because the mean of its divisors is an integer number (37493040).

Almost surely, 2^414112361 is an apocalyptic number.

It is an amenable number.

414112361 is a deficient number, since it is larger than the sum of its proper divisors (35804119).

414112361 is a wasteful number, since it uses less digits than its factorization.

414112361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8216 (or 8203 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 414112361 is about 20349.7508829961. The cubic root of 414112361 is about 745.3714112810.

Adding to 414112361 its reverse (163211414), we get a palindrome (577323775).

The spelling of 414112361 in words is "four hundred fourteen million, one hundred twelve thousand, three hundred sixty-one".