264585000 has 160 divisors (see below), whose sum is σ = 854726400. Its totient is φ = 68160000.

The previous prime is 264584941. The next prime is 264585011. The reversal of 264585000 is 585462.

264585000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 464716 + ... + 465284.

It is an arithmetic number, because the mean of its divisors is an integer number (5342040).

Almost surely, 2^264585000 is an apocalyptic number.

264585000 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 264585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427363200).

264585000 is an abundant number, since it is smaller than the sum of its proper divisors (590141400).

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

264585000 is a wasteful number, since it uses less digits than its factorization.

264585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 264585000 is about 16266.0689780906. The cubic root of 264585000 is about 641.9803567325.

The spelling of 264585000 in words is "two hundred sixty-four million, five hundred eighty-five thousand".