828492409 has 2 divisors, whose sum is σ = 828492410. Its totient is φ = 828492408.

The previous prime is 828492389. The next prime is 828492421. The reversal of 828492409 is 904294828.

828492409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 558613225 + 269879184 = 23635^2 + 16428^2 .

It is a cyclic number.

It is not a de Polignac number, because 828492409 - 2⁵ = 828492377 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (828492439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414246204 + 414246205.

It is an arithmetic number, because the mean of its divisors is an integer number (414246205).

Almost surely, 2^828492409 is an apocalyptic number.

It is an amenable number.

828492409 is a deficient number, since it is larger than the sum of its proper divisors (1).

828492409 is an equidigital number, since it uses as much as digits as its factorization.

828492409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 828492409 is about 28783.5440660111. The cubic root of 828492409 is about 939.2102953245.

It can be divided in two parts, 82849 and 2409, that added together give a palindrome (85258).

The spelling of 828492409 in words is "eight hundred twenty-eight million, four hundred ninety-two thousand, four hundred nine".