509468 has 12 divisors (see below), whose sum is σ = 905352. Its totient is φ = 250800.

The previous prime is 509449. The next prime is 509477. The reversal of 509468 is 864905.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

509468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 683 + ... + 1218.

It is an arithmetic number, because the mean of its divisors is an integer number (75446).

2⁵⁰⁹⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

509468 is a deficient number, since it is larger than the sum of its proper divisors (395884).

509468 is a wasteful number, since it uses less digits than its factorization.

509468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

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

The square root of 509468 is about 713.7702711657. The cubic root of 509468 is about 79.8679070131.

The spelling of 509468 in words is "five hundred nine thousand, four hundred sixty-eight".