509396160 has 560 divisors, whose sum is σ = 2151436896. Its totient is φ = 101154816.

The previous prime is 509396159. The next prime is 509396171. The reversal of 509396160 is 61693905.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 29964472 + ... + 29964488.

Almost surely, 2^509396160 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 509396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075718448).

509396160 is an abundant number, since it is smaller than the sum of its proper divisors (1642040736).

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

509396160 is a wasteful number, since it uses less digits than its factorization.

509396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 509396160 is about 22569.8063793201. The cubic root of 509396160 is about 798.6415278308.

The spelling of 509396160 in words is "five hundred nine million, three hundred ninety-six thousand, one hundred sixty".