300864 has 28 divisors (see below), whose sum is σ = 796544. Its totient is φ = 100224.

The previous prime is 300857. The next prime is 300869. The reversal of 300864 is 468003.

It is a self number, because there is not a number n which added to its sum of digits gives 300864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 592 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (28448).

2³⁰⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

300864 is an abundant number, since it is smaller than the sum of its proper divisors (495680).

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

300864 is a wasteful number, since it uses less digits than its factorization.

300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 300864 is about 548.5107109255. The cubic root of 300864 is about 67.0074989750.

Adding to 300864 its reverse (468003), we get a palindrome (768867).

The spelling of 300864 in words is "three hundred thousand, eight hundred sixty-four".