509666976 has 144 divisors (see below), whose sum is σ = 1783926144. Its totient is φ = 134410752.

The previous prime is 509666929. The next prime is 509667019. The reversal of 509666976 is 679666905.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 16485 + ... + 35931.

It is an arithmetic number, because the mean of its divisors is an integer number (12388376).

Almost surely, 2^509666976 is an apocalyptic number.

509666976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509666976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891963072).

509666976 is an abundant number, since it is smaller than the sum of its proper divisors (1274259168).

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

509666976 is a wasteful number, since it uses less digits than its factorization.

509666976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19483 (or 19472 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 509666976 is about 22575.8051019227. The cubic root of 509666976 is about 798.7830330112.

The spelling of 509666976 in words is "five hundred nine million, six hundred sixty-six thousand, nine hundred seventy-six".