509942160 has 480 divisors, whose sum is σ = 2168694528. Its totient is φ = 104509440.

The previous prime is 509942137. The next prime is 509942161. The reversal of 509942160 is 61249905.

509942160 is a `hidden beast` number, since 509 + 94 + 2 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (509942161) 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 95 ways as a sum of consecutive naturals, for example, 2817270 + ... + 2817450.

Almost surely, 2^509942160 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 509942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084347264).

509942160 is an abundant number, since it is smaller than the sum of its proper divisors (1658752368).

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

509942160 is a wasteful number, since it uses less digits than its factorization.

509942160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 509942160 is about 22581.8989458371. The cubic root of 509942160 is about 798.9267691967.

The spelling of 509942160 in words is "five hundred nine million, nine hundred forty-two thousand, one hundred sixty".