509368 has 8 divisors (see below), whose sum is σ = 955080. Its totient is φ = 254680.

The previous prime is 509363. The next prime is 509389. The reversal of 509368 is 863905.

It is a tau number, because it is divible by the number of its divisors (8).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509363) by changing a digit.

509368 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 31828 + ... + 31843.

It is an arithmetic number, because the mean of its divisors is an integer number (119385).

2⁵⁰⁹³⁶⁸ is an apocalyptic number.

It is an amenable number.

509368 is a deficient number, since it is larger than the sum of its proper divisors (445712).

509368 is a wasteful number, since it uses less digits than its factorization.

509368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63677 (or 63673 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 509368 is about 713.7002171781. The cubic root of 509368 is about 79.8626810955.

The spelling of 509368 in words is "five hundred nine thousand, three hundred sixty-eight".