413399993 has 2 divisors, whose sum is σ = 413399994. Its totient is φ = 413399992.

The previous prime is 413399981. The next prime is 413400011. The reversal of 413399993 is 399993314.

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., 412577344 + 822649 = 20312^2 + 907^2 .

It is a cyclic number.

It is not a de Polignac number, because 413399993 - 2⁴ = 413399977 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413399293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206699996 + 206699997.

It is an arithmetic number, because the mean of its divisors is an integer number (206699997).

Almost surely, 2^413399993 is an apocalyptic number.

It is an amenable number.

413399993 is a deficient number, since it is larger than the sum of its proper divisors (1).

413399993 is an equidigital number, since it uses as much as digits as its factorization.

413399993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 708588, while the sum is 50.

The square root of 413399993 is about 20332.2402356455. The cubic root of 413399993 is about 744.9437628526.

The spelling of 413399993 in words is "four hundred thirteen million, three hundred ninety-nine thousand, nine hundred ninety-three".