407984117 has 2 divisors, whose sum is σ = 407984118. Its totient is φ = 407984116.

The previous prime is 407984081. The next prime is 407984123. The reversal of 407984117 is 711489704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253255396 + 154728721 = 15914^2 + 12439^2 .

It is a cyclic number.

It is not a de Polignac number, because 407984117 - 2⁶ = 407984053 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407984167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203992058 + 203992059.

It is an arithmetic number, because the mean of its divisors is an integer number (203992059).

Almost surely, 2^407984117 is an apocalyptic number.

It is an amenable number.

407984117 is a deficient number, since it is larger than the sum of its proper divisors (1).

407984117 is an equidigital number, since it uses as much as digits as its factorization.

407984117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56448, while the sum is 41.

The square root of 407984117 is about 20198.6167100621. The cubic root of 407984117 is about 741.6763293836.

The spelling of 407984117 in words is "four hundred seven million, nine hundred eighty-four thousand, one hundred seventeen".