509403 has 8 divisors (see below), whose sum is σ = 682768. Its totient is φ = 337824.

The previous prime is 509393. The next prime is 509413. The reversal of 509403 is 304905.

It is an interprime number because it is at equal distance from previous prime (509393) and next prime (509413).

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

It is not a de Polignac number, because 509403 - 2⁸ = 509147 is a prime.

It is a Duffinian number.

509403 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 509403.

It is not an unprimeable number, because it can be changed into a prime (509413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (85346).

2⁵⁰⁹⁴⁰³ is an apocalyptic number.

509403 is a deficient number, since it is larger than the sum of its proper divisors (173365).

509403 is a wasteful number, since it uses less digits than its factorization.

509403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 509403 is about 713.7247368559. The cubic root of 509403 is about 79.8645102445.

It can be divided in two parts, 50 and 9403, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 509403 in words is "five hundred nine thousand, four hundred three".