509477 has 2 divisors, whose sum is σ = 509478. Its totient is φ = 509476.

The previous prime is 509449. The next prime is 509513. The reversal of 509477 is 774905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 410881 + 98596 = 641^2 + 314^2 .

It is a cyclic number.

It is not a de Polignac number, because 509477 - 2⁶ = 509413 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509477.

It is not a weakly prime, because it can be changed into another prime (509417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254738 + 254739.

It is an arithmetic number, because the mean of its divisors is an integer number (254739).

2⁵⁰⁹⁴⁷⁷ is an apocalyptic number.

It is an amenable number.

509477 is a deficient number, since it is larger than the sum of its proper divisors (1).

509477 is an equidigital number, since it uses as much as digits as its factorization.

509477 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 509477 is about 713.7765756874. The cubic root of 509477 is about 79.8683773121.

The spelling of 509477 in words is "five hundred nine thousand, four hundred seventy-seven".