508385 has 8 divisors (see below), whose sum is σ = 646056. Its totient is φ = 382720.

The previous prime is 508373. The next prime is 508393. The reversal of 508385 is 583805.

It can be written as a sum of positive squares in 4 ways, for example, as 12769 + 495616 = 113^2 + 704^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 508385 - 2⁸ = 508129 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 508385.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2906 + ... + 3075.

It is an arithmetic number, because the mean of its divisors is an integer number (80757).

2⁵⁰⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

508385 is a deficient number, since it is larger than the sum of its proper divisors (137671).

508385 is a wasteful number, since it uses less digits than its factorization.

508385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 508385 is about 713.0112201081. The cubic root of 508385 is about 79.8112738808.

The spelling of 508385 in words is "five hundred eight thousand, three hundred eighty-five".