509804820 has 144 divisors (see below), whose sum is σ = 1845103680. Its totient is φ = 116520768.

The previous prime is 509804819. The next prime is 509804839. The reversal of 509804820 is 28408905.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16827 + ... + 36093.

It is an arithmetic number, because the mean of its divisors is an integer number (12813220).

Almost surely, 2^509804820 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 509804820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922551840).

509804820 is an abundant number, since it is smaller than the sum of its proper divisors (1335298860).

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

509804820 is a wasteful number, since it uses less digits than its factorization.

509804820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19299 (or 19284 counting only the distinct ones).

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

The square root of 509804820 is about 22578.8578099070. The cubic root of 509804820 is about 798.8550391960.

The spelling of 509804820 in words is "five hundred nine million, eight hundred four thousand, eight hundred twenty".