407807993 has 2 divisors, whose sum is σ = 407807994. Its totient is φ = 407807992.

The previous prime is 407807989. The next prime is 407807999. The reversal of 407807993 is 399708704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 400480144 + 7327849 = 20012^2 + 2707^2 .

It is a cyclic number.

It is not a de Polignac number, because 407807993 - 2² = 407807989 is a prime.

It is not a weakly prime, because it can be changed into another prime (407807999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203903996 + 203903997.

It is an arithmetic number, because the mean of its divisors is an integer number (203903997).

Almost surely, 2^407807993 is an apocalyptic number.

It is an amenable number.

407807993 is a deficient number, since it is larger than the sum of its proper divisors (1).

407807993 is an equidigital number, since it uses as much as digits as its factorization.

407807993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 407807993 is about 20194.2564359275. The cubic root of 407807993 is about 741.5695884609.

The spelling of 407807993 in words is "four hundred seven million, eight hundred seven thousand, nine hundred ninety-three".