264344640 has 224 divisors, whose sum is σ = 969507840. Its totient is φ = 59774976.

The previous prime is 264344623. The next prime is 264344653. The reversal of 264344640 is 46443462.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933939 + ... + 934221.

It is an arithmetic number, because the mean of its divisors is an integer number (4328160).

Almost surely, 2^264344640 is an apocalyptic number.

264344640 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 264344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484753920).

264344640 is an abundant number, since it is smaller than the sum of its proper divisors (705163200).

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

264344640 is a wasteful number, since it uses less digits than its factorization.

264344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 264344640 is about 16258.6789131221. The cubic root of 264344640 is about 641.7858972982.

The spelling of 264344640 in words is "two hundred sixty-four million, three hundred forty-four thousand, six hundred forty".