509287680 has 216 divisors, whose sum is σ = 1922749920. Its totient is φ = 123432960.

The previous prime is 509287663. The next prime is 509287687. The reversal of 509287680 is 86782905.

509287680 is a `hidden beast` number, since 509 + 2 + 87 + 68 + 0 = 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 (509287687) 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 23 ways as a sum of consecutive naturals, for example, 124711 + ... + 128729.

It is an arithmetic number, because the mean of its divisors is an integer number (8901620).

Almost surely, 2^509287680 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 509287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961374960).

509287680 is an abundant number, since it is smaller than the sum of its proper divisors (1413462240).

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

509287680 is a wasteful number, since it uses less digits than its factorization.

509287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 509287680 is about 22567.4030406691. The cubic root of 509287680 is about 798.5848314319.

The spelling of 509287680 in words is "five hundred nine million, two hundred eighty-seven thousand, six hundred eighty".