264300960 has 192 divisors, whose sum is σ = 1038127104. Its totient is φ = 54912000.

The previous prime is 264300937. The next prime is 264300961. The reversal of 264300960 is 69003462.

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

It is not an unprimeable number, because it can be changed into a prime (264300961) 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 31 ways as a sum of consecutive naturals, for example, 33385 + ... + 40535.

It is an arithmetic number, because the mean of its divisors is an integer number (5406912).

Almost surely, 2^264300960 is an apocalyptic number.

264300960 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 264300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519063552).

264300960 is an abundant number, since it is smaller than the sum of its proper divisors (773826144).

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

264300960 is a wasteful number, since it uses less digits than its factorization.

264300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 264300960 is about 16257.3355750566. The cubic root of 264300960 is about 641.7505460333.

The spelling of 264300960 in words is "two hundred sixty-four million, three hundred thousand, nine hundred sixty".