509824080 has 120 divisors (see below), whose sum is σ = 1722476808. Its totient is φ = 135134208.

The previous prime is 509824069. The next prime is 509824121. The reversal of 509824080 is 80428905.

It can be written as a sum of positive squares in 4 ways, for example, as 125350416 + 384473664 = 11196^2 + 19608^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 122514 + ... + 126606.

Almost surely, 2^509824080 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 509824080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861238404).

509824080 is an abundant number, since it is smaller than the sum of its proper divisors (1212652728).

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

509824080 is a wasteful number, since it uses less digits than its factorization.

509824080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 509824080 is about 22579.2843110671. The cubic root of 509824080 is about 798.8650990946.

The spelling of 509824080 in words is "five hundred nine million, eight hundred twenty-four thousand, eighty".