463509 has 8 divisors (see below), whose sum is σ = 686720. Its totient is φ = 308988.

The previous prime is 463501. The next prime is 463511. The reversal of 463509 is 905364.

It is a happy number.

It is not a de Polignac number, because 463509 - 2³ = 463501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 17167 = 463509 / (4 + 6 + 3 + 5 + 0 + 9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8557 + ... + 8610.

It is an arithmetic number, because the mean of its divisors is an integer number (85840).

2⁴⁶³⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

463509 is a deficient number, since it is larger than the sum of its proper divisors (223211).

463509 is a wasteful number, since it uses less digits than its factorization.

463509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17176 (or 17170 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 463509 is about 680.8149528323. The cubic root of 463509 is about 77.3902156973.

The spelling of 463509 in words is "four hundred sixty-three thousand, five hundred nine".