509638272 has 128 divisors (see below), whose sum is σ = 1590563520. Its totient is φ = 142540800.

The previous prime is 509638253. The next prime is 509638289. The reversal of 509638272 is 272836905.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50272 + ... + 59552.

Almost surely, 2^509638272 is an apocalyptic number.

509638272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795281760).

509638272 is an abundant number, since it is smaller than the sum of its proper divisors (1080925248).

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

509638272 is a wasteful number, since it uses less digits than its factorization.

509638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 509638272 is about 22575.1693681354. The cubic root of 509638272 is about 798.7680371416.

The spelling of 509638272 in words is "five hundred nine million, six hundred thirty-eight thousand, two hundred seventy-two".