264252800 has 192 divisors, whose sum is σ = 764951040. Its totient is φ = 88320000.

The previous prime is 264252787. The next prime is 264252851. The reversal of 264252800 is 8252462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1052675 + ... + 1052925.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^264252800 is an apocalyptic number.

264252800 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 264252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

264252800 is an abundant number, since it is smaller than the sum of its proper divisors (500698240).

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

264252800 is a wasteful number, since it uses less digits than its factorization.

264252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 264252800 is about 16255.8543300560. The cubic root of 264252800 is about 641.7115644827.

The spelling of 264252800 in words is "two hundred sixty-four million, two hundred fifty-two thousand, eight hundred".