264292288 has 56 divisors (see below), whose sum is σ = 572089280. Its totient is φ = 120407040.

The previous prime is 264292279. The next prime is 264292289. The reversal of 264292288 is 882292462.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264292289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63718 + ... + 67738.

It is an arithmetic number, because the mean of its divisors is an integer number (10215880).

Almost surely, 2^264292288 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 264292288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286044640).

264292288 is an abundant number, since it is smaller than the sum of its proper divisors (307796992).

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

264292288 is a wasteful number, since it uses less digits than its factorization.

264292288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4115 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 264292288 is about 16257.0688624979. The cubic root of 264292288 is about 641.7435271136.

The spelling of 264292288 in words is "two hundred sixty-four million, two hundred ninety-two thousand, two hundred eighty-eight".