413414181 has 6 divisors (see below), whose sum is σ = 597153830. Its totient is φ = 275609448.

The previous prime is 413414161. The next prime is 413414201. The reversal of 413414181 is 181414314.

It is an interprime number because it is at equal distance from previous prime (413414161) and next prime (413414201).

It can be written as a sum of positive squares in only one way, i.e., 283248900 + 130165281 = 16830^2 + 11409^2 .

It is not a de Polignac number, because 413414181 - 2⁵ = 413414149 is a prime.

It is a super-2 number, since 2×413414181² = 341822570103801522, which contains 22 as substring.

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 (413414161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22967446 + ... + 22967463.

Almost surely, 2^413414181 is an apocalyptic number.

It is an amenable number.

413414181 is a deficient number, since it is larger than the sum of its proper divisors (183739649).

413414181 is a wasteful number, since it uses less digits than its factorization.

413414181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45934915 (or 45934912 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 413414181 is about 20332.5891366545. The cubic root of 413414181 is about 744.9522849791.

Adding to 413414181 its reverse (181414314), we get a palindrome (594828495).

It can be divided in two parts, 413414 and 181, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 413414181 in words is "four hundred thirteen million, four hundred fourteen thousand, one hundred eighty-one".