407952407 has 2 divisors, whose sum is σ = 407952408. Its totient is φ = 407952406.

The previous prime is 407952359. The next prime is 407952421. The reversal of 407952407 is 704259704.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 407952407 - 2²⁰ = 406903831 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407952427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203976203 + 203976204.

It is an arithmetic number, because the mean of its divisors is an integer number (203976204).

Almost surely, 2^407952407 is an apocalyptic number.

407952407 is a deficient number, since it is larger than the sum of its proper divisors (1).

407952407 is an equidigital number, since it uses as much as digits as its factorization.

407952407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 407952407 is about 20197.8317400656. The cubic root of 407952407 is about 741.6571136308.

The spelling of 407952407 in words is "four hundred seven million, nine hundred fifty-two thousand, four hundred seven".