509164160 has 64 divisors (see below), whose sum is σ = 1243192320. Its totient is φ = 199320576.

The previous prime is 509164153. The next prime is 509164169. The reversal of 509164160 is 61461905.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509164169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21617 + ... + 38543.

It is an arithmetic number, because the mean of its divisors is an integer number (19424880).

Almost surely, 2^509164160 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 509164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621596160).

509164160 is an abundant number, since it is smaller than the sum of its proper divisors (734028160).

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

509164160 is a wasteful number, since it uses less digits than its factorization.

509164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16993 (or 16981 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 509164160 is about 22564.6661841030. Note that the first 3 decimals coincide. The cubic root of 509164160 is about 798.5202646667.

The spelling of 509164160 in words is "five hundred nine million, one hundred sixty-four thousand, one hundred sixty".