864400609 has 2 divisors, whose sum is σ = 864400610. Its totient is φ = 864400608.

The previous prime is 864400601. The next prime is 864400627. The reversal of 864400609 is 906004468.

864400609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 800720209 + 63680400 = 28297^2 + 7980^2 .

It is a cyclic number.

It is not a de Polignac number, because 864400609 - 2³ = 864400601 is a prime.

It is not a weakly prime, because it can be changed into another prime (864400601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 432200304 + 432200305.

It is an arithmetic number, because the mean of its divisors is an integer number (432200305).

Almost surely, 2^864400609 is an apocalyptic number.

It is an amenable number.

864400609 is a deficient number, since it is larger than the sum of its proper divisors (1).

864400609 is an equidigital number, since it uses as much as digits as its factorization.

864400609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 864400609 is about 29400.6906211402. The cubic root of 864400609 is about 952.5878137937.

The spelling of 864400609 in words is "eight hundred sixty-four million, four hundred thousand, six hundred nine".