406980857 has 2 divisors, whose sum is σ = 406980858. Its totient is φ = 406980856.

The previous prime is 406980839. The next prime is 406980859. The reversal of 406980857 is 758089604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403367056 + 3613801 = 20084^2 + 1901^2 .

It is a cyclic number.

It is not a de Polignac number, because 406980857 - 2⁶ = 406980793 is a prime.

Together with 406980859, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_21688589 and since 406980857 and 21688589 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (406980859) 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, 203490428 + 203490429.

It is an arithmetic number, because the mean of its divisors is an integer number (203490429).

Almost surely, 2^406980857 is an apocalyptic number.

It is an amenable number.

406980857 is a deficient number, since it is larger than the sum of its proper divisors (1).

406980857 is an equidigital number, since it uses as much as digits as its factorization.

406980857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 406980857 is about 20173.7665546125. The cubic root of 406980857 is about 741.0678866171.

The spelling of 406980857 in words is "four hundred six million, nine hundred eighty thousand, eight hundred fifty-seven".