264200 has 24 divisors (see below), whose sum is σ = 614730. Its totient is φ = 105600.

The previous prime is 264179. The next prime is 264211. The reversal of 264200 is 2462.

264200 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 244036 + 20164 = 494^2 + 142^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2 + 6 + 2¹¹ + 4⁹ + 0 + 0 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 264200.

It is an unprimeable number.

264200 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 (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 461 + ... + 860.

2²⁶⁴²⁰⁰ is an apocalyptic number.

264200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264200 is an abundant number, since it is smaller than the sum of its proper divisors (350530).

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

264200 is a wasteful number, since it uses less digits than its factorization.

264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 264200 is about 514.0038910359. The cubic root of 264200 is about 64.1668821791.

Adding to 264200 its reverse (2462), we get a palindrome (266662).

It can be divided in two parts, 264 and 200, that added together give a palindrome (464).

The spelling of 264200 in words is "two hundred sixty-four thousand, two hundred".