413950993 has 2 divisors, whose sum is σ = 413950994. Its totient is φ = 413950992.

The previous prime is 413950937. The next prime is 413951009. The reversal of 413950993 is 399059314.

413950993 is nontrivially palindromic in base 7.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403889409 + 10061584 = 20097^2 + 3172^2 .

It is a cyclic number.

It is not a de Polignac number, because 413950993 - 2¹⁷ = 413819921 is a prime.

It is not a weakly prime, because it can be changed into another prime (413950913) 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 as a sum of consecutive naturals, namely, 206975496 + 206975497.

It is an arithmetic number, because the mean of its divisors is an integer number (206975497).

Almost surely, 2^413950993 is an apocalyptic number.

It is an amenable number.

413950993 is a deficient number, since it is larger than the sum of its proper divisors (1).

413950993 is an equidigital number, since it uses as much as digits as its factorization.

413950993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131220, while the sum is 43.

The square root of 413950993 is about 20345.7856324105. The cubic root of 413950993 is about 745.2745819083.

The spelling of 413950993 in words is "four hundred thirteen million, nine hundred fifty thousand, nine hundred ninety-three".