264881344 has 56 divisors (see below), whose sum is σ = 646935968. Its totient is φ = 104785920.

The previous prime is 264881327. The next prime is 264881387. The reversal of 264881344 is 443188462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 264881297 and 264881306.

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 7 ways as a sum of consecutive naturals, for example, 16917 + ... + 28564.

It is an arithmetic number, because the mean of its divisors is an integer number (11552428).

Almost surely, 2^264881344 is an apocalyptic number.

It is an amenable number.

264881344 is an abundant number, since it is smaller than the sum of its proper divisors (382054624).

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

264881344 is a wasteful number, since it uses less digits than its factorization.

264881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45513 (or 45503 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 264881344 is about 16275.1756979764. The cubic root of 264881344 is about 642.2199470889.

It can be divided in two parts, 264881 and 344, that added together give a square (265225 = 515²).

The spelling of 264881344 in words is "two hundred sixty-four million, eight hundred eighty-one thousand, three hundred forty-four".