405374993 has 2 divisors, whose sum is σ = 405374994. Its totient is φ = 405374992.

The previous prime is 405374939. The next prime is 405375007. The reversal of 405374993 is 399473504.

Together with previous prime (405374939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217356049 + 188018944 = 14743^2 + 13712^2 .

It is a cyclic number.

It is not a de Polignac number, because 405374993 - 2¹⁸ = 405112849 is a prime.

It is not a weakly prime, because it can be changed into another prime (405374903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202687496 + 202687497.

It is an arithmetic number, because the mean of its divisors is an integer number (202687497).

Almost surely, 2^405374993 is an apocalyptic number.

It is an amenable number.

405374993 is a deficient number, since it is larger than the sum of its proper divisors (1).

405374993 is an equidigital number, since it uses as much as digits as its factorization.

405374993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 44.

The square root of 405374993 is about 20133.9264178649. The cubic root of 405374993 is about 740.0919005659.

The spelling of 405374993 in words is "four hundred five million, three hundred seventy-four thousand, nine hundred ninety-three".