407999681 has 2 divisors, whose sum is σ = 407999682. Its totient is φ = 407999680.

The previous prime is 407999591. The next prime is 407999689. The reversal of 407999681 is 186999704.

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., 372490000 + 35509681 = 19300^2 + 5959^2 .

It is a cyclic number.

It is not a de Polignac number, because 407999681 - 2²² = 403805377 is a prime.

It is a super-2 number, since 2×407999681² = 332927479392203522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (407999689) 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, 203999840 + 203999841.

It is an arithmetic number, because the mean of its divisors is an integer number (203999841).

Almost surely, 2^407999681 is an apocalyptic number.

It is an amenable number.

407999681 is a deficient number, since it is larger than the sum of its proper divisors (1).

407999681 is an equidigital number, since it uses as much as digits as its factorization.

407999681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 53.

The square root of 407999681 is about 20199.0019802960. The cubic root of 407999681 is about 741.6857605543.

The spelling of 407999681 in words is "four hundred seven million, nine hundred ninety-nine thousand, six hundred eighty-one".