385509 has 8 divisors (see below), whose sum is σ = 544320. Its totient is φ = 241856.

The previous prime is 385501. The next prime is 385519. The reversal of 385509 is 905583.

385509 is nontrivially palindromic in base 16.

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

It is a cyclic number.

It is not a de Polignac number, because 385509 - 2³ = 385501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3729 + ... + 3830.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

2³⁸⁵⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

385509 is a deficient number, since it is larger than the sum of its proper divisors (158811).

385509 is a wasteful number, since it uses less digits than its factorization.

385509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 385509 is about 620.8937107106. The cubic root of 385509 is about 72.7799088180.

The spelling of 385509 in words is "three hundred eighty-five thousand, five hundred nine".