414106317 has 16 divisors (see below), whose sum is σ = 616250880. Its totient is φ = 274828896.

The previous prime is 414106307. The next prime is 414106351. The reversal of 414106317 is 713601414.

It is a happy number.

414106317 is a `hidden beast` number, since 4 + 14 + 10 + 631 + 7 = 666.

It is not a de Polignac number, because 414106317 - 2⁸ = 414106061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414106307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28368 + ... + 40409.

It is an arithmetic number, because the mean of its divisors is an integer number (38515680).

Almost surely, 2^414106317 is an apocalyptic number.

It is an amenable number.

414106317 is a deficient number, since it is larger than the sum of its proper divisors (202144563).

414106317 is a wasteful number, since it uses less digits than its factorization.

414106317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69009 (or 69003 counting only the distinct ones).

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

The square root of 414106317 is about 20349.6023794078. The cubic root of 414106317 is about 745.3677850134.

The spelling of 414106317 in words is "four hundred fourteen million, one hundred six thousand, three hundred seventeen".