264133200 has 120 divisors (see below), whose sum is σ = 854721088. Its totient is φ = 69719040.

The previous prime is 264133183. The next prime is 264133201. The reversal of 264133200 is 2331462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264133201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122532 + ... + 124668.

Almost surely, 2^264133200 is an apocalyptic number.

264133200 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 264133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427360544).

264133200 is an abundant number, since it is smaller than the sum of its proper divisors (590587888).

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

264133200 is a wasteful number, since it uses less digits than its factorization.

264133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2250 counting only the distinct ones).

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

The square root of 264133200 is about 16252.1752390257. The cubic root of 264133200 is about 641.6147376502.

Adding to 264133200 its reverse (2331462), we get a palindrome (266464662).

The spelling of 264133200 in words is "two hundred sixty-four million, one hundred thirty-three thousand, two hundred".