413138881 has 8 divisors (see below), whose sum is σ = 414843624. Its totient is φ = 411438720.

The previous prime is 413138867. The next prime is 413138899. The reversal of 413138881 is 188831314.

It can be written as a sum of positive squares in 4 ways, for example, as 6713281 + 406425600 = 2591^2 + 20160^2 .

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

It is a 3-Lehmer number, since φ(413138881) divides (413138881-1)³.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2^k-413138881 is a prime.

It is a super-2 number, since 2×413138881² = 341367469987864322, which contains 22 as substring.

It is a deceptive number, since it divides R_413138880.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413138881.

It is not an unprimeable number, because it can be changed into a prime (413138821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407331 + ... + 408343.

It is an arithmetic number, because the mean of its divisors is an integer number (51855453).

It is a Poulet number, since it divides 2^413138880-1.

Almost surely, 2^413138881 is an apocalyptic number.

It is an amenable number.

413138881 is a deficient number, since it is larger than the sum of its proper divisors (1704743).

413138881 is a wasteful number, since it uses less digits than its factorization.

413138881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291.

The product of its digits is 18432, while the sum is 37.

The square root of 413138881 is about 20325.8180893168. The cubic root of 413138881 is about 744.7868891818.

The spelling of 413138881 in words is "four hundred thirteen million, one hundred thirty-eight thousand, eight hundred eighty-one".