264852000 has 288 divisors, whose sum is σ = 1075261824. Its totient is φ = 60480000.

The previous prime is 264851989. The next prime is 264852067. The reversal of 264852000 is 258462.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nialpdrome in base 16.

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, 251475 + ... + 252525.

It is an arithmetic number, because the mean of its divisors is an integer number (3733548).

Almost surely, 2^264852000 is an apocalyptic number.

264852000 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 264852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537630912).

264852000 is an abundant number, since it is smaller than the sum of its proper divisors (810409824).

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

264852000 is a wasteful number, since it uses less digits than its factorization.

264852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 264852000 is about 16274.2741773635. The cubic root of 264852000 is about 642.1962308117.

The spelling of 264852000 in words is "two hundred sixty-four million, eight hundred fifty-two thousand".