509108040 has 480 divisors, whose sum is σ = 2097388800. Its totient is φ = 106686720.

The previous prime is 509107987. The next prime is 509108057. The reversal of 509108040 is 40801905.

It is a junction number, because it is equal to n+sod(n) for n = 509107995 and 509108013.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16422825 + ... + 16422855.

It is an arithmetic number, because the mean of its divisors is an integer number (4369560).

Almost surely, 2^509108040 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 509108040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048694400).

509108040 is an abundant number, since it is smaller than the sum of its proper divisors (1588280760).

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

509108040 is a wasteful number, since it uses less digits than its factorization.

509108040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 509108040 is about 22563.4226127155. The cubic root of 509108040 is about 798.4909259928.

Adding to 509108040 its reverse (40801905), we get a palindrome (549909945).

The spelling of 509108040 in words is "five hundred nine million, one hundred eight thousand, forty".