264030200 has 96 divisors (see below), whose sum is σ = 708764160. Its totient is φ = 89596800.

The previous prime is 264030199. The next prime is 264030203. The reversal of 264030200 is 2030462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264030203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143285 + ... + 145115.

It is an arithmetic number, because the mean of its divisors is an integer number (7382960).

Almost surely, 2^264030200 is an apocalyptic number.

264030200 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 264030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354382080).

264030200 is an abundant number, since it is smaller than the sum of its proper divisors (444733960).

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

264030200 is a wasteful number, since it uses less digits than its factorization.

264030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 264030200 is about 16249.0061234526. The cubic root of 264030200 is about 641.5313265657.

Adding to 264030200 its reverse (2030462), we get a palindrome (266060662).

The spelling of 264030200 in words is "two hundred sixty-four million, thirty thousand, two hundred".