509160960 has 720 divisors, whose sum is σ = 2292322032. Its totient is φ = 103219200.

The previous prime is 509160943. The next prime is 509160989. The reversal of 509160960 is 69061905.

509160960 is a `hidden beast` number, since 509 + 1 + 60 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12418540 + ... + 12418580.

Almost surely, 2^509160960 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 509160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146161016).

509160960 is an abundant number, since it is smaller than the sum of its proper divisors (1783161072).

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

509160960 is a wasteful number, since it uses less digits than its factorization.

509160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 509160960 is about 22564.5952766718. The cubic root of 509160960 is about 798.5185918138.

The spelling of 509160960 in words is "five hundred nine million, one hundred sixty thousand, nine hundred sixty".