264424320 has 192 divisors, whose sum is σ = 945172800. Its totient is φ = 68038656.

The previous prime is 264424301. The next prime is 264424331. The reversal of 264424320 is 23424462.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 166249 + ... + 167831.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2^264424320 is an apocalyptic number.

264424320 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 264424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472586400).

264424320 is an abundant number, since it is smaller than the sum of its proper divisors (680748480).

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

264424320 is a wasteful number, since it uses less digits than its factorization.

264424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 264424320 is about 16261.1291120881. The cubic root of 264424320 is about 641.8503741911.

Adding to 264424320 its reverse (23424462), we get a palindrome (287848782).

The spelling of 264424320 in words is "two hundred sixty-four million, four hundred twenty-four thousand, three hundred twenty".