264459720 has 256 divisors, whose sum is σ = 952565760. Its totient is φ = 57480192.

The previous prime is 264459719. The next prime is 264459721. The reversal of 264459720 is 27954462.

It is an interprime number because it is at equal distance from previous prime (264459719) and next prime (264459721).

It is not an unprimeable number, because it can be changed into a prime (264459721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2082297 + ... + 2082423.

It is an arithmetic number, because the mean of its divisors is an integer number (3720960).

Almost surely, 2^264459720 is an apocalyptic number.

264459720 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 264459720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476282880).

264459720 is an abundant number, since it is smaller than the sum of its proper divisors (688106040).

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

264459720 is a wasteful number, since it uses less digits than its factorization.

264459720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 264459720 is about 16262.2175609601. The cubic root of 264459720 is about 641.8790156430.

The spelling of 264459720 in words is "two hundred sixty-four million, four hundred fifty-nine thousand, seven hundred twenty".