509488 has 20 divisors (see below), whose sum is σ = 1128400. Its totient is φ = 218304.

The previous prime is 509477. The next prime is 509513. The reversal of 509488 is 884905.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2163 + ... + 2386.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2⁵⁰⁹⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

509488 is an abundant number, since it is smaller than the sum of its proper divisors (618912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509488 is a wasteful number, since it uses less digits than its factorization.

509488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 509488 is about 713.7842811382. The cubic root of 509488 is about 79.8689521145.

The spelling of 509488 in words is "five hundred nine thousand, four hundred eighty-eight".