264228800 has 84 divisors (see below), whose sum is σ = 709321416. Its totient is φ = 96076800.

The previous prime is 264228799. The next prime is 264228821. The reversal of 264228800 is 8822462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10094 + ... + 25106.

Almost surely, 2^264228800 is an apocalyptic number.

264228800 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 264228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354660708).

264228800 is an abundant number, since it is smaller than the sum of its proper divisors (445092616).

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

264228800 is a wasteful number, since it uses less digits than its factorization.

264228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15046 (or 15031 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 264228800 is about 16255.1161177028. The cubic root of 264228800 is about 641.6921366926.

The spelling of 264228800 in words is "two hundred sixty-four million, two hundred twenty-eight thousand, eight hundred".