413663661 has 6 divisors (see below), whose sum is σ = 597514190. Its totient is φ = 275775768.

The previous prime is 413663641. The next prime is 413663681. The reversal of 413663661 is 166366314.

413663661 is a `hidden beast` number, since 4 + 13 + 6 + 636 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (413663641) and next prime (413663681).

It can be written as a sum of positive squares in only one way, i.e., 285272100 + 128391561 = 16890^2 + 11331^2 .

It is not a de Polignac number, because 413663661 - 2⁵ = 413663629 is a prime.

It is a super-2 number, since 2×413663661² = 342235248863845842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413663641) 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 5 ways as a sum of consecutive naturals, for example, 22981306 + ... + 22981323.

Almost surely, 2^413663661 is an apocalyptic number.

It is an amenable number.

413663661 is a deficient number, since it is larger than the sum of its proper divisors (183850529).

413663661 is a wasteful number, since it uses less digits than its factorization.

413663661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45962635 (or 45962632 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 413663661 is about 20338.7231900137. The cubic root of 413663661 is about 745.1021051292.

The spelling of 413663661 in words is "four hundred thirteen million, six hundred sixty-three thousand, six hundred sixty-one".