264232200 has 96 divisors (see below), whose sum is σ = 823608000. Its totient is φ = 70076160.

The previous prime is 264232153. The next prime is 264232201. The reversal of 264232200 is 2232462.

It is not an unprimeable number, because it can be changed into a prime (264232201) 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, 118294 + ... + 120506.

It is an arithmetic number, because the mean of its divisors is an integer number (8579250).

Almost surely, 2^264232200 is an apocalyptic number.

264232200 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 264232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411804000).

264232200 is an abundant number, since it is smaller than the sum of its proper divisors (559375800).

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

264232200 is a wasteful number, since it uses less digits than its factorization.

264232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 264232200 is about 16255.2206998244. The cubic root of 264232200 is about 641.6948890343.

Adding to 264232200 its reverse (2232462), we get a palindrome (266464662).

The spelling of 264232200 in words is "two hundred sixty-four million, two hundred thirty-two thousand, two hundred".