405403993 has 2 divisors, whose sum is σ = 405403994. Its totient is φ = 405403992.

The previous prime is 405403991. The next prime is 405404011. The reversal of 405403993 is 399304504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 336795904 + 68608089 = 18352^2 + 8283^2 .

It is a cyclic number.

It is not a de Polignac number, because 405403993 - 2¹ = 405403991 is a prime.

Together with 405403991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (405403991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202701996 + 202701997.

It is an arithmetic number, because the mean of its divisors is an integer number (202701997).

Almost surely, 2^405403993 is an apocalyptic number.

It is an amenable number.

405403993 is a deficient number, since it is larger than the sum of its proper divisors (1).

405403993 is an equidigital number, since it uses as much as digits as its factorization.

405403993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 405403993 is about 20134.6465824459. The cubic root of 405403993 is about 740.1095485493.

The spelling of 405403993 in words is "four hundred five million, four hundred three thousand, nine hundred ninety-three".