264331200 has 168 divisors, whose sum is σ = 991242112. Its totient is φ = 60410880.

The previous prime is 264331187. The next prime is 264331231. The reversal of 264331200 is 2133462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29667 + ... + 37533.

Almost surely, 2^264331200 is an apocalyptic number.

264331200 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 264331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495621056).

264331200 is an abundant number, since it is smaller than the sum of its proper divisors (726910912).

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

264331200 is a wasteful number, since it uses less digits than its factorization.

264331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 264331200 is about 16258.2655901544. The cubic root of 264331200 is about 641.7750204007.

Adding to 264331200 its reverse (2133462), we get a palindrome (266464662).

The spelling of 264331200 in words is "two hundred sixty-four million, three hundred thirty-one thousand, two hundred".