509280256 has 68 divisors (see below), whose sum is σ = 1074782200. Its totient is φ = 240648192.

The previous prime is 509280253. The next prime is 509280259. The reversal of 509280256 is 652082905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (509280253) and next prime (509280259).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 509280256 = 232³ + 792³ = 480³ + 736³.

It is not an unprimeable number, because it can be changed into a prime (509280251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1244980 + ... + 1245388.

Almost surely, 2^509280256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537391100).

509280256 is an abundant number, since it is smaller than the sum of its proper divisors (565501944).

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

509280256 is an frugal number, since it uses more digits than its factorization.

509280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 509280256 is about 22567.2385550381. The cubic root of 509280256 is about 798.5809510300.

The spelling of 509280256 in words is "five hundred nine million, two hundred eighty thousand, two hundred fifty-six".