481509 has 12 divisors (see below), whose sum is σ = 794976. Its totient is φ = 275112.

The previous prime is 481501. The next prime is 481513. The reversal of 481509 is 905184.

It is not a de Polignac number, because 481509 - 2³ = 481501 is a prime.

It is a Curzon number.

481509 is a lucky number.

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 481509.

It is not an unprimeable number, because it can be changed into a prime (481501) 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 11 ways as a sum of consecutive naturals, for example, 3759 + ... + 3884.

It is an arithmetic number, because the mean of its divisors is an integer number (66248).

2⁴⁸¹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

481509 is a deficient number, since it is larger than the sum of its proper divisors (313467).

481509 is a wasteful number, since it uses less digits than its factorization.

481509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 481509 is about 693.9084954084. The cubic root of 481509 is about 78.3793160936.

It can be divided in two parts, 481 and 509, that added together give a triangular number (990 = T₄₄).

The spelling of 481509 in words is "four hundred eighty-one thousand, five hundred nine".