405200449 has 2 divisors, whose sum is σ = 405200450. Its totient is φ = 405200448.

The previous prime is 405200437. The next prime is 405200461. The reversal of 405200449 is 944002504.

It is a balanced prime because it is at equal distance from previous prime (405200437) and next prime (405200461).

It can be written as a sum of positive squares in only one way, i.e., 378574849 + 26625600 = 19457^2 + 5160^2 .

It is a cyclic number.

It is not a de Polignac number, because 405200449 - 2²⁷ = 270982721 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (405200149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202600224 + 202600225.

It is an arithmetic number, because the mean of its divisors is an integer number (202600225).

Almost surely, 2^405200449 is an apocalyptic number.

It is an amenable number.

405200449 is a deficient number, since it is larger than the sum of its proper divisors (1).

405200449 is an equidigital number, since it uses as much as digits as its factorization.

405200449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 405200449 is about 20129.5913768760. The cubic root of 405200449 is about 739.9856638323.

The spelling of 405200449 in words is "four hundred five million, two hundred thousand, four hundred forty-nine".