509347440 has 480 divisors, whose sum is σ = 2144862720. Its totient is φ = 109734912.

The previous prime is 509347429. The next prime is 509347441. The reversal of 509347440 is 44743905.

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

It is a junction number, because it is equal to n+sod(n) for n = 509347395 and 509347404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509347441) 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 95 ways as a sum of consecutive naturals, for example, 2585422 + ... + 2585618.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^509347440 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 509347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

509347440 is an abundant number, since it is smaller than the sum of its proper divisors (1635515280).

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

509347440 is a wasteful number, since it uses less digits than its factorization.

509347440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 509347440 is about 22568.7270354356. The cubic root of 509347440 is about 798.6160656209.

509347440 divided by its sum of digits (36) gives a triangular number (14148540 = T₅₃₁₉).

The spelling of 509347440 in words is "five hundred nine million, three hundred forty-seven thousand, four hundred forty".