509827344 has 80 divisors (see below), whose sum is σ = 1433158272. Its totient is φ = 155234304.

The previous prime is 509827343. The next prime is 509827349. The reversal of 509827344 is 443728905.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 509827296 and 509827305.

It is not an unprimeable number, because it can be changed into a prime (509827343) 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 15 ways as a sum of consecutive naturals, for example, 56317 + ... + 64739.

Almost surely, 2^509827344 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 509827344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716579136).

509827344 is an abundant number, since it is smaller than the sum of its proper divisors (923330928).

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

509827344 is a wasteful number, since it uses less digits than its factorization.

509827344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8544 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 509827344 is about 22579.3565895931. The cubic root of 509827344 is about 798.8668039246.

The spelling of 509827344 in words is "five hundred nine million, eight hundred twenty-seven thousand, three hundred forty-four".