509846399 has 8 divisors (see below), whose sum is σ = 549162240. Its totient is φ = 471778776.

The previous prime is 509846387. The next prime is 509846401. The reversal of 509846399 is 993648905.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 509846399 - 2⁴ = 509846383 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 509846399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509840399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311207 + ... + 312840.

It is an arithmetic number, because the mean of its divisors is an integer number (68645280).

Almost surely, 2^509846399 is an apocalyptic number.

509846399 is a deficient number, since it is larger than the sum of its proper divisors (39315841).

509846399 is a wasteful number, since it uses less digits than its factorization.

509846399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624109.

The product of its (nonzero) digits is 2099520, while the sum is 53.

The square root of 509846399 is about 22579.7785418724. The cubic root of 509846399 is about 798.8767564555.

The spelling of 509846399 in words is "five hundred nine million, eight hundred forty-six thousand, three hundred ninety-nine".