264268800 has 396 divisors, whose sum is σ = 1003128256. Its totient is φ = 66355200.

The previous prime is 264268787. The next prime is 264268801. The reversal of 264268800 is 8862462.

264268800 is a `hidden beast` number, since 2 + 642 + 6 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (264268801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7142382 + ... + 7142418.

Almost surely, 2^264268800 is an apocalyptic number.

264268800 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 264268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501564128).

264268800 is an abundant number, since it is smaller than the sum of its proper divisors (738859456).

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

264268800 is a wasteful number, since it uses less digits than its factorization.

264268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 264268800 is about 16256.3464530011. The cubic root of 264268800 is about 641.7245156893.

The spelling of 264268800 in words is "two hundred sixty-four million, two hundred sixty-eight thousand, eight hundred".