509366880 has 336 divisors, whose sum is σ = 1973223504. Its totient is φ = 123171840.

The previous prime is 509366861. The next prime is 509366881. The reversal of 509366880 is 88663905.

509366880 is a `hidden beast` number, since 509 + 3 + 6 + 68 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509366881) 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 55 ways as a sum of consecutive naturals, for example, 1282842 + ... + 1283238.

It is an arithmetic number, because the mean of its divisors is an integer number (5872689).

Almost surely, 2^509366880 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 509366880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986611752).

509366880 is an abundant number, since it is smaller than the sum of its proper divisors (1463856624).

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

509366880 is a wasteful number, since it uses less digits than its factorization.

509366880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 509366880 is about 22569.1577157855. The cubic root of 509366880 is about 798.6262256136.

The spelling of 509366880 in words is "five hundred nine million, three hundred sixty-six thousand, eight hundred eighty".