509468160 has 80 divisors (see below), whose sum is σ = 1628730576. Its totient is φ = 135856128.

The previous prime is 509468159. The next prime is 509468161. The reversal of 509468160 is 61864905.

It is an interprime number because it is at equal distance from previous prime (509468159) and next prime (509468161).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509468161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25489 + ... + 40848.

Almost surely, 2^509468160 is an apocalyptic number.

It is an amenable number.

509468160 is an abundant number, since it is smaller than the sum of its proper divisors (1119262416).

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

509468160 is an equidigital number, since it uses as much as digits as its factorization.

509468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66363 (or 66347 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 509468160 is about 22571.4013743055. The cubic root of 509468160 is about 798.6791537400.

The spelling of 509468160 in words is "five hundred nine million, four hundred sixty-eight thousand, one hundred sixty".