820458049 has 2 divisors, whose sum is σ = 820458050. Its totient is φ = 820458048.

The previous prime is 820458013. The next prime is 820458061. The reversal of 820458049 is 940854028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 479391025 + 341067024 = 21895^2 + 18468^2 .

It is a cyclic number.

It is not a de Polignac number, because 820458049 - 2⁹ = 820457537 is a prime.

It is not a weakly prime, because it can be changed into another prime (820458949) 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, 410229024 + 410229025.

It is an arithmetic number, because the mean of its divisors is an integer number (410229025).

Almost surely, 2^820458049 is an apocalyptic number.

It is an amenable number.

820458049 is a deficient number, since it is larger than the sum of its proper divisors (1).

820458049 is an equidigital number, since it uses as much as digits as its factorization.

820458049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 820458049 is about 28643.6388924312. The cubic root of 820458049 is about 936.1644101002.

The spelling of 820458049 in words is "eight hundred twenty million, four hundred fifty-eight thousand, forty-nine".