506449 has 2 divisors, whose sum is σ = 506450. Its totient is φ = 506448.

The previous prime is 506423. The next prime is 506459. The reversal of 506449 is 944605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294849 + 211600 = 543^2 + 460^2 .

It is a cyclic number.

It is not a de Polignac number, because 506449 - 2⁵ = 506417 is a prime.

506449 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (506459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253224 + 253225.

It is an arithmetic number, because the mean of its divisors is an integer number (253225).

2⁵⁰⁶⁴⁴⁹ is an apocalyptic number.

It is an amenable number.

506449 is a deficient number, since it is larger than the sum of its proper divisors (1).

506449 is an equidigital number, since it uses as much as digits as its factorization.

506449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 506449 is about 711.6523027434. The cubic root of 506449 is about 79.7098342370.

It can be divided in two parts, 50644 and 9, that added together give a cube (50653 = 37³).

The spelling of 506449 in words is "five hundred six thousand, four hundred forty-nine".