509706240 has 256 divisors, whose sum is σ = 1755289440. Its totient is φ = 125829120.

The previous prime is 509706193. The next prime is 509706269. The reversal of 509706240 is 42607905.

It is a tau number, because it is divible by the number of its divisors (256).

It is a zygodrome in base 2.

It is a congruent number.

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, 8355810 + ... + 8355870.

Almost surely, 2^509706240 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 509706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877644720).

509706240 is an abundant number, since it is smaller than the sum of its proper divisors (1245583200).

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

509706240 is an equidigital number, since it uses as much as digits as its factorization.

509706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 509706240 is about 22576.6746887136. The cubic root of 509706240 is about 798.8035448442.

The spelling of 509706240 in words is "five hundred nine million, seven hundred six thousand, two hundred forty".