414237413 has 8 divisors (see below), whose sum is σ = 416768280. Its totient is φ = 411713280.

The previous prime is 414237409. The next prime is 414237427. The reversal of 414237413 is 314732414.

It can be written as a sum of positive squares in 4 ways, for example, as 22118209 + 392119204 = 4703^2 + 19802^2 .

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 414237413 - 2² = 414237409 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414237403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173081 + ... + 175457.

It is an arithmetic number, because the mean of its divisors is an integer number (52096035).

Almost surely, 2^414237413 is an apocalyptic number.

It is an amenable number.

414237413 is a deficient number, since it is larger than the sum of its proper divisors (2530867).

414237413 is a wasteful number, since it uses less digits than its factorization.

414237413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367.

The product of its digits is 8064, while the sum is 29.

The square root of 414237413 is about 20352.8232193964. The cubic root of 414237413 is about 745.4464318259.

Adding to 414237413 its reverse (314732414), we get a palindrome (728969827).

The spelling of 414237413 in words is "four hundred fourteen million, two hundred thirty-seven thousand, four hundred thirteen".