264566400 has 384 divisors, whose sum is σ = 1036124160. Its totient is φ = 58060800.

The previous prime is 264566389. The next prime is 264566417. The reversal of 264566400 is 4665462.

264566400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

264566400 is a nontrivial binomial coefficient, being equal to C(128, 5).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083137 + ... + 2083263.

It is an arithmetic number, because the mean of its divisors is an integer number (2698240).

Almost surely, 2^264566400 is an apocalyptic number.

264566400 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 264566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518062080).

264566400 is an abundant number, since it is smaller than the sum of its proper divisors (771557760).

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

264566400 is a wasteful number, since it uses less digits than its factorization.

264566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 264566400 is about 16265.4972257229. The cubic root of 264566400 is about 641.9653129035.

The spelling of 264566400 in words is "two hundred sixty-four million, five hundred sixty-six thousand, four hundred".