264439680 has 128 divisors (see below), whose sum is σ = 862773120. Its totient is φ = 68855808.

The previous prime is 264439673. The next prime is 264439741. The reversal of 264439680 is 86934462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80959 + ... + 84161.

It is an arithmetic number, because the mean of its divisors is an integer number (6740415).

Almost surely, 2^264439680 is an apocalyptic number.

264439680 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 264439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431386560).

264439680 is an abundant number, since it is smaller than the sum of its proper divisors (598333440).

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

264439680 is a wasteful number, since it uses less digits than its factorization.

264439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 264439680 is about 16261.6013971564. The cubic root of 264439680 is about 641.8628019825.

It can be divided in two parts, 2644 and 39680, that added together give a palindrome (42324).

The spelling of 264439680 in words is "two hundred sixty-four million, four hundred thirty-nine thousand, six hundred eighty".