505456409 has 2 divisors, whose sum is σ = 505456410. Its totient is φ = 505456408.

The previous prime is 505456397. The next prime is 505456417. The reversal of 505456409 is 904654505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 480486400 + 24970009 = 21920^2 + 4997^2 .

It is a cyclic number.

It is not a de Polignac number, because 505456409 - 2⁸ = 505456153 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (505456429) 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, 252728204 + 252728205.

It is an arithmetic number, because the mean of its divisors is an integer number (252728205).

Almost surely, 2^505456409 is an apocalyptic number.

It is an amenable number.

505456409 is a deficient number, since it is larger than the sum of its proper divisors (1).

505456409 is an equidigital number, since it uses as much as digits as its factorization.

505456409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 505456409 is about 22482.3577277829. The cubic root of 505456409 is about 796.5772566065.

The spelling of 505456409 in words is "five hundred five million, four hundred fifty-six thousand, four hundred nine".