509630 has 32 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 179200.

The previous prime is 509623. The next prime is 509633. The reversal of 509630 is 36905.

Added to its reverse (36905) it gives a triangular number (546535 = T₁₀₄₅).

It is an Ulam number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 509596 and 509605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509633) 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 15 ways as a sum of consecutive naturals, for example, 4454 + ... + 4566.

It is an arithmetic number, because the mean of its divisors is an integer number (32319).

2⁵⁰⁹⁶³⁰ is an apocalyptic number.

509630 is an abundant number, since it is smaller than the sum of its proper divisors (524578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509630 is a wasteful number, since it uses less digits than its factorization.

509630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 509630 is about 713.8837440368. The cubic root of 509630 is about 79.8763715485.

Adding to 509630 its reverse (36905), we get a triangular number (546535 = T₁₀₄₅).

The spelling of 509630 in words is "five hundred nine thousand, six hundred thirty".