414412113 has 16 divisors (see below), whose sum is σ = 577437696. Its totient is φ = 264104400.

The previous prime is 414412093. The next prime is 414412121. The reversal of 414412113 is 311214414.

It is not a de Polignac number, because 414412113 - 2¹⁰ = 414411089 is a prime.

It is a super-2 number, since 2×414412113² = 343474798802249538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414412113.

It is not an unprimeable number, because it can be changed into a prime (414412013) 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, 28113 + ... + 40238.

It is an arithmetic number, because the mean of its divisors is an integer number (36089856).

Almost surely, 2^414412113 is an apocalyptic number.

414412113 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

414412113 is a deficient number, since it is larger than the sum of its proper divisors (163025583).

414412113 is a wasteful number, since it uses less digits than its factorization.

414412113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68444.

The product of its digits is 384, while the sum is 21.

The square root of 414412113 is about 20357.1145548675. The cubic root of 414412113 is about 745.5512116649.

Adding to 414412113 its reverse (311214414), we get a palindrome (725626527).

The spelling of 414412113 in words is "four hundred fourteen million, four hundred twelve thousand, one hundred thirteen".