509648 has 20 divisors (see below), whose sum is σ = 1007748. Its totient is φ = 249600.

The previous prime is 509647. The next prime is 509653. The reversal of 509648 is 846905.

It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 110224 = 632^2 + 332^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548 + ... + 1148.

2⁵⁰⁹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

509648 is a deficient number, since it is larger than the sum of its proper divisors (498100).

509648 is a wasteful number, since it uses less digits than its factorization.

509648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 509648 is about 713.8963510202. The cubic root of 509648 is about 79.8773119417.

The spelling of 509648 in words is "five hundred nine thousand, six hundred forty-eight".