407568241 has 2 divisors, whose sum is σ = 407568242. Its totient is φ = 407568240.

The previous prime is 407568199. The next prime is 407568247. The reversal of 407568241 is 142865704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 364008241 + 43560000 = 19079^2 + 6600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-407568241 is a prime.

It is a super-2 number, since 2×407568241² = 332223742143668162, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 407568241.

It is not a weakly prime, because it can be changed into another prime (407568247) 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, 203784120 + 203784121.

It is an arithmetic number, because the mean of its divisors is an integer number (203784121).

Almost surely, 2^407568241 is an apocalyptic number.

It is an amenable number.

407568241 is a deficient number, since it is larger than the sum of its proper divisors (1).

407568241 is an equidigital number, since it uses as much as digits as its factorization.

407568241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 407568241 is about 20188.3194199022. The cubic root of 407568241 is about 741.4242360335.

The spelling of 407568241 in words is "four hundred seven million, five hundred sixty-eight thousand, two hundred forty-one".