416129117 has 8 divisors (see below), whose sum is σ = 426110976. Its totient is φ = 406194352.

The previous prime is 416129113. The next prime is 416129141. The reversal of 416129117 is 711921614.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416129117 - 2² = 416129113 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416129113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6443 + ... + 29559.

It is an arithmetic number, because the mean of its divisors is an integer number (53263872).

Almost surely, 2^416129117 is an apocalyptic number.

416129117 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

416129117 is a deficient number, since it is larger than the sum of its proper divisors (9981859).

416129117 is a wasteful number, since it uses less digits than its factorization.

416129117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23547.

The product of its digits is 3024, while the sum is 32.

The square root of 416129117 is about 20399.2430496820. The cubic root of 416129117 is about 746.5794558493.

The spelling of 416129117 in words is "four hundred sixteen million, one hundred twenty-nine thousand, one hundred seventeen".