264388320 has 288 divisors, whose sum is σ = 1077300000. Its totient is φ = 60383232.

The previous prime is 264388277. The next prime is 264388321. The reversal of 264388320 is 23883462.

264388320 is a `hidden beast` number, since 2 + 643 + 8 + 8 + 3 + 2 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264388321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211056 + ... + 212304.

It is an arithmetic number, because the mean of its divisors is an integer number (3740625).

Almost surely, 2^264388320 is an apocalyptic number.

264388320 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 264388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538650000).

264388320 is an abundant number, since it is smaller than the sum of its proper divisors (812911680).

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

264388320 is a wasteful number, since it uses less digits than its factorization.

264388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 264388320 is about 16260.0221402063. The cubic root of 264388320 is about 641.8212446691.

The spelling of 264388320 in words is "two hundred sixty-four million, three hundred eighty-eight thousand, three hundred twenty".