407993 has 2 divisors, whose sum is σ = 407994. Its totient is φ = 407992.

The previous prime is 407977. The next prime is 408011. The reversal of 407993 is 399704.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284089 + 123904 = 533^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 407993 - 2⁴ = 407977 is a prime.

It is not a weakly prime, because it can be changed into another prime (407923) 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, 203996 + 203997.

It is an arithmetic number, because the mean of its divisors is an integer number (203997).

2⁴⁰⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

407993 is a deficient number, since it is larger than the sum of its proper divisors (1).

407993 is an equidigital number, since it uses as much as digits as its factorization.

407993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 407993 is about 638.7432974208. The cubic root of 407993 is about 74.1681712161.

The spelling of 407993 in words is "four hundred seven thousand, nine hundred ninety-three".