509988960 has 288 divisors, whose sum is σ = 1945550880. Its totient is φ = 125411328.

The previous prime is 509988943. The next prime is 509988971. The reversal of 509988960 is 69889905.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 509988897 and 509988906.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 504936 + ... + 505944.

It is an arithmetic number, because the mean of its divisors is an integer number (6755385).

Almost surely, 2^509988960 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 509988960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972775440).

509988960 is an abundant number, since it is smaller than the sum of its proper divisors (1435561920).

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

509988960 is a wasteful number, since it uses less digits than its factorization.

509988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 509988960 is about 22582.9351502412. The cubic root of 509988960 is about 798.9512089809.

The spelling of 509988960 in words is "five hundred nine million, nine hundred eighty-eight thousand, nine hundred sixty".