407808601 has 2 divisors, whose sum is σ = 407808602. Its totient is φ = 407808600.

The previous prime is 407808581. The next prime is 407808617. The reversal of 407808601 is 106808704.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404010000 + 3798601 = 20100^2 + 1949^2 .

It is a cyclic number.

It is not a de Polignac number, because 407808601 - 2⁷ = 407808473 is a prime.

It is not a weakly prime, because it can be changed into another prime (407808641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203904300 + 203904301.

It is an arithmetic number, because the mean of its divisors is an integer number (203904301).

Almost surely, 2^407808601 is an apocalyptic number.

It is an amenable number.

407808601 is a deficient number, since it is larger than the sum of its proper divisors (1).

407808601 is an equidigital number, since it uses as much as digits as its factorization.

407808601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 407808601 is about 20194.2714897072. The cubic root of 407808601 is about 741.5699569955.

The spelling of 407808601 in words is "four hundred seven million, eight hundred eight thousand, six hundred one".