264988800 has 192 divisors, whose sum is σ = 970101600. Its totient is φ = 70640640.

The previous prime is 264988769. The next prime is 264988847. The reversal of 264988800 is 8889462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 84867 + ... + 87933.

Almost surely, 2^264988800 is an apocalyptic number.

264988800 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 264988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485050800).

264988800 is an abundant number, since it is smaller than the sum of its proper divisors (705112800).

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

264988800 is a wasteful number, since it uses less digits than its factorization.

264988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 264988800 is about 16278.4765871994. The cubic root of 264988800 is about 642.3067797510.

The spelling of 264988800 in words is "two hundred sixty-four million, nine hundred eighty-eight thousand, eight hundred".