406876393409 has 2 divisors, whose sum is σ = 406876393410. Its totient is φ = 406876393408.

The previous prime is 406876393367. The next prime is 406876393421. The reversal of 406876393409 is 904393678604.

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., 315821520400 + 91054873009 = 561980^2 + 301753^2 .

It is a cyclic number.

It is not a de Polignac number, because 406876393409 - 2³⁶ = 338156916673 is a prime.

It is not a weakly prime, because it can be changed into another prime (406876393489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203438196704 + 203438196705.

It is an arithmetic number, because the mean of its divisors is an integer number (203438196705).

Almost surely, 2^406876393409 is an apocalyptic number.

It is an amenable number.

406876393409 is a deficient number, since it is larger than the sum of its proper divisors (1).

406876393409 is an equidigital number, since it uses as much as digits as its factorization.

406876393409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23514624, while the sum is 59.

The spelling of 406876393409 in words is "four hundred six billion, eight hundred seventy-six million, three hundred ninety-three thousand, four hundred nine".