264465600 has 336 divisors, whose sum is σ = 1052218368. Its totient is φ = 56770560.

The previous prime is 264465589. The next prime is 264465623. The reversal of 264465600 is 6564462.

264465600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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, 570969 + ... + 571431.

Almost surely, 2^264465600 is an apocalyptic number.

264465600 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 264465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526109184).

264465600 is an abundant number, since it is smaller than the sum of its proper divisors (787752768).

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

264465600 is a wasteful number, since it uses less digits than its factorization.

264465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

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

The square root of 264465600 is about 16262.3983471074. The cubic root of 264465600 is about 641.8837727892.

The spelling of 264465600 in words is "two hundred sixty-four million, four hundred sixty-five thousand, six hundred".