413640077 has 2 divisors, whose sum is σ = 413640078. Its totient is φ = 413640076.

The previous prime is 413640043. The next prime is 413640133. The reversal of 413640077 is 770046314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281367076 + 132273001 = 16774^2 + 11501^2 .

It is a cyclic number.

It is not a de Polignac number, because 413640077 - 2¹⁶ = 413574541 is a prime.

It is a super-2 number, since 2×413640077² = 342196226601131858, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413640977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206820038 + 206820039.

It is an arithmetic number, because the mean of its divisors is an integer number (206820039).

Almost surely, 2^413640077 is an apocalyptic number.

It is an amenable number.

413640077 is a deficient number, since it is larger than the sum of its proper divisors (1).

413640077 is an equidigital number, since it uses as much as digits as its factorization.

413640077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 413640077 is about 20338.1434010089. The cubic root of 413640077 is about 745.0879448152.

The spelling of 413640077 in words is "four hundred thirteen million, six hundred forty thousand, seventy-seven".