478509 has 4 divisors (see below), whose sum is σ = 638016. Its totient is φ = 319004.

The previous prime is 478493. The next prime is 478523. The reversal of 478509 is 905874.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 478509 - 2⁴ = 478493 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

478509 is a lucky number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 478509.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478509.

It is not an unprimeable number, because it can be changed into a prime (478579) 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 3 ways as a sum of consecutive naturals, for example, 79749 + ... + 79754.

It is an arithmetic number, because the mean of its divisors is an integer number (159504).

2⁴⁷⁸⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

478509 is a deficient number, since it is larger than the sum of its proper divisors (159507).

478509 is a wasteful number, since it uses less digits than its factorization.

478509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159506.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 478509 is about 691.7434495534. The cubic root of 478509 is about 78.2161983525.

The spelling of 478509 in words is "four hundred seventy-eight thousand, five hundred nine".