509172 has 24 divisors (see below), whose sum is σ = 1200192. Its totient is φ = 168000.

The previous prime is 509149. The next prime is 509203. The reversal of 509172 is 271905.

It is a super-2 number, since 2×509172² = 518512251168, which contains 22 as substring.

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 509172.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1672 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (50008).

2⁵⁰⁹¹⁷² is an apocalyptic number.

It is an amenable number.

509172 is an abundant number, since it is smaller than the sum of its proper divisors (691020).

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

509172 is a wasteful number, since it uses less digits than its factorization.

509172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 509172 is about 713.5628914118. The cubic root of 509172 is about 79.8524363127.

The spelling of 509172 in words is "five hundred nine thousand, one hundred seventy-two".