509580160 has 128 divisors (see below), whose sum is σ = 1263094560. Its totient is φ = 196485120.

The previous prime is 509580101. The next prime is 509580161. The reversal of 509580160 is 61085905.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509580161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815270 + ... + 2815450.

Almost surely, 2^509580160 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 509580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631547280).

509580160 is an abundant number, since it is smaller than the sum of its proper divisors (753514400).

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

509580160 is a wasteful number, since it uses less digits than its factorization.

509580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 509580160 is about 22573.8822536134. The cubic root of 509580160 is about 798.7376758866.

The spelling of 509580160 in words is "five hundred nine million, five hundred eighty thousand, one hundred sixty".