264432288 has 144 divisors (see below), whose sum is σ = 749177856. Its totient is φ = 81607680.

The previous prime is 264432283. The next prime is 264432299. The reversal of 264432288 is 882234462.

264432288 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 (264432283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2082081 + ... + 2082207.

It is an arithmetic number, because the mean of its divisors is an integer number (5202624).

Almost surely, 2^264432288 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 264432288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374588928).

264432288 is an abundant number, since it is smaller than the sum of its proper divisors (484745568).

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

264432288 is a wasteful number, since it uses less digits than its factorization.

264432288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 264432288 is about 16261.3741116795. The cubic root of 264432288 is about 641.8568211679.

The spelling of 264432288 in words is "two hundred sixty-four million, four hundred thirty-two thousand, two hundred eighty-eight".