509834320 has 20 divisors (see below), whose sum is σ = 1185364980. Its totient is φ = 203933696.

The previous prime is 509834309. The next prime is 509834323. The reversal of 509834320 is 23438905.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 152473104 + 357361216 = 12348^2 + 18904^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509834323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3186385 + ... + 3186544.

It is an arithmetic number, because the mean of its divisors is an integer number (59268249).

Almost surely, 2^509834320 is an apocalyptic number.

It is an amenable number.

509834320 is an abundant number, since it is smaller than the sum of its proper divisors (675530660).

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

509834320 is a wasteful number, since it uses less digits than its factorization.

509834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372942 (or 6372936 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 509834320 is about 22579.5110664514. The cubic root of 509834320 is about 798.8704475564.

The spelling of 509834320 in words is "five hundred nine million, eight hundred thirty-four thousand, three hundred twenty".