264563200 has 120 divisors (see below), whose sum is σ = 715445280. Its totient is φ = 96153600.

The previous prime is 264563177. The next prime is 264563203. The reversal of 264563200 is 2365462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (264563203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139861 + ... + 141739.

It is an arithmetic number, because the mean of its divisors is an integer number (5962044).

Almost surely, 2^264563200 is an apocalyptic number.

264563200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357722640).

264563200 is an abundant number, since it is smaller than the sum of its proper divisors (450882080).

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

264563200 is a wasteful number, since it uses less digits than its factorization.

264563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 264563200 is about 16265.3988576979. The cubic root of 264563200 is about 641.9627246468.

The spelling of 264563200 in words is "two hundred sixty-four million, five hundred sixty-three thousand, two hundred".