509800704 has 432 divisors, whose sum is σ = 1789562880. Its totient is φ = 127733760.

The previous prime is 509800699. The next prime is 509800717. The reversal of 509800704 is 407008905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16445169 + ... + 16445199.

Almost surely, 2^509800704 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 509800704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894781440).

509800704 is an abundant number, since it is smaller than the sum of its proper divisors (1279762176).

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

509800704 is a wasteful number, since it uses less digits than its factorization.

509800704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 509800704 is about 22578.7666625084. The cubic root of 509800704 is about 798.8528892908.

The spelling of 509800704 in words is "five hundred nine million, eight hundred thousand, seven hundred four".