406084319 has 2 divisors, whose sum is σ = 406084320. Its totient is φ = 406084318.

The previous prime is 406084309. The next prime is 406084331. The reversal of 406084319 is 913480604.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 406084319 - 2²⁴ = 389307103 is a prime.

It is a super-2 number, since 2×406084319² = 329808948275387522, which contains 22 as substring.

It is a Sophie Germain prime.

It is equal to p_21643397 and since 406084319 and 21643397 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406084309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203042159 + 203042160.

It is an arithmetic number, because the mean of its divisors is an integer number (203042160).

Almost surely, 2^406084319 is an apocalyptic number.

406084319 is a deficient number, since it is larger than the sum of its proper divisors (1).

406084319 is an equidigital number, since it uses as much as digits as its factorization.

406084319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 406084319 is about 20151.5339118391. The cubic root of 406084319 is about 740.5233204759.

The spelling of 406084319 in words is "four hundred six million, eighty-four thousand, three hundred nineteen".