264822912 has 256 divisors, whose sum is σ = 852720000. Its totient is φ = 80621568.

The previous prime is 264822911. The next prime is 264822917. The reversal of 264822912 is 219228462.

264822912 is a `hidden beast` number, since 2 + 648 + 2 + 2 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (264822911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2429514 + ... + 2429622.

Almost surely, 2^264822912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426360000).

264822912 is an abundant number, since it is smaller than the sum of its proper divisors (587897088).

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

264822912 is a wasteful number, since it uses less digits than its factorization.

264822912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 264822912 is about 16273.3804724157. The cubic root of 264822912 is about 642.1727197088.

The spelling of 264822912 in words is "two hundred sixty-four million, eight hundred twenty-two thousand, nine hundred twelve".