419303993 has 2 divisors, whose sum is σ = 419303994. Its totient is φ = 419303992.

The previous prime is 419303987. The next prime is 419304013. The reversal of 419303993 is 399303914.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277289104 + 142014889 = 16652^2 + 11917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-419303993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 419303993.

It is not a weakly prime, because it can be changed into another prime (419303903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209651996 + 209651997.

It is an arithmetic number, because the mean of its divisors is an integer number (209651997).

Almost surely, 2^419303993 is an apocalyptic number.

It is an amenable number.

419303993 is a deficient number, since it is larger than the sum of its proper divisors (1).

419303993 is an equidigital number, since it uses as much as digits as its factorization.

419303993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 41.

The square root of 419303993 is about 20476.9136590454. The cubic root of 419303993 is about 748.4733347960.

The spelling of 419303993 in words is "four hundred nineteen million, three hundred three thousand, nine hundred ninety-three".