264343200 has 576 divisors, whose sum is σ = 1079930880. Its totient is φ = 55296000.

The previous prime is 264343199. The next prime is 264343201. The reversal of 264343200 is 2343462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (264343199) and next prime (264343201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (264343201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8527185 + ... + 8527215.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^264343200 is an apocalyptic number.

264343200 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 264343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

264343200 is an abundant number, since it is smaller than the sum of its proper divisors (815587680).

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

264343200 is a wasteful number, since it uses less digits than its factorization.

264343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 264343200 is about 16258.6346290210. The cubic root of 264343200 is about 641.7847319340.

Adding to 264343200 its reverse (2343462), we get a palindrome (266686662).

The spelling of 264343200 in words is "two hundred sixty-four million, three hundred forty-three thousand, two hundred".