413029993 has 2 divisors, whose sum is σ = 413029994. Its totient is φ = 413029992.

The previous prime is 413029931. The next prime is 413029997. The reversal of 413029993 is 399920314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363016809 + 50013184 = 19053^2 + 7072^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413029993 is a prime.

It is not a weakly prime, because it can be changed into another prime (413029997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206514996 + 206514997.

It is an arithmetic number, because the mean of its divisors is an integer number (206514997).

Almost surely, 2^413029993 is an apocalyptic number.

It is an amenable number.

413029993 is a deficient number, since it is larger than the sum of its proper divisors (1).

413029993 is an equidigital number, since it uses as much as digits as its factorization.

413029993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 413029993 is about 20323.1393490277. The cubic root of 413029993 is about 744.7214507507.

The spelling of 413029993 in words is "four hundred thirteen million, twenty-nine thousand, nine hundred ninety-three".