410384993 has 2 divisors, whose sum is σ = 410384994. Its totient is φ = 410384992.

The previous prime is 410384987. The next prime is 410384999. The reversal of 410384993 is 399483014.

It is a balanced prime because it is at equal distance from previous prime (410384987) and next prime (410384999).

It can be written as a sum of positive squares in only one way, i.e., 318551104 + 91833889 = 17848^2 + 9583^2 .

It is a cyclic number.

It is not a de Polignac number, because 410384993 - 2⁴ = 410384977 is a prime.

It is a super-2 number, since 2×410384993² = 336831684959220098, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 410384993.

It is not a weakly prime, because it can be changed into another prime (410384999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205192496 + 205192497.

It is an arithmetic number, because the mean of its divisors is an integer number (205192497).

Almost surely, 2^410384993 is an apocalyptic number.

It is an amenable number.

410384993 is a deficient number, since it is larger than the sum of its proper divisors (1).

410384993 is an equidigital number, since it uses as much as digits as its factorization.

410384993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 410384993 is about 20257.9612251579. The cubic root of 410384993 is about 743.1283396244.

The spelling of 410384993 in words is "four hundred ten million, three hundred eighty-four thousand, nine hundred ninety-three".