414274113 has 18 divisors (see below), whose sum is σ = 657742722. Its totient is φ = 251074560.

The previous prime is 414274109. The next prime is 414274151. The reversal of 414274113 is 311472414.

It can be written as a sum of positive squares in only one way, i.e., 413227584 + 1046529 = 20328^2 + 1023^2 .

It is not a de Polignac number, because 414274113 - 2² = 414274109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414274103) 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 17 ways as a sum of consecutive naturals, for example, 189120 + ... + 191297.

Almost surely, 2^414274113 is an apocalyptic number.

It is an amenable number.

414274113 is a deficient number, since it is larger than the sum of its proper divisors (243468609).

414274113 is a wasteful number, since it uses less digits than its factorization.

414274113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380445 (or 380431 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 414274113 is about 20353.7247942483. The cubic root of 414274113 is about 745.4684458330.

The spelling of 414274113 in words is "four hundred fourteen million, two hundred seventy-four thousand, one hundred thirteen".