264656449 has 12 divisors (see below), whose sum is σ = 274944684. Its totient is φ = 254721024.

The previous prime is 264656351. The next prime is 264656467. The reversal of 264656449 is 944656462.

264656449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 72335025 + 192321424 = 8505^2 + 13868^2 .

It is not a de Polignac number, because 264656449 - 2¹³ = 264648257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264656399 and 264656408.

It is not an unprimeable number, because it can be changed into a prime (264656489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131797 + ... + 133789.

It is an arithmetic number, because the mean of its divisors is an integer number (22912057).

Almost surely, 2^264656449 is an apocalyptic number.

It is an amenable number.

264656449 is a deficient number, since it is larger than the sum of its proper divisors (10288235).

264656449 is an equidigital number, since it uses as much as digits as its factorization.

264656449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2127 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 46.

The square root of 264656449 is about 16268.2650888163. The cubic root of 264656449 is about 642.0381387008.

It can be divided in two parts, 2646 and 56449, that added together give a palindrome (59095).

The spelling of 264656449 in words is "two hundred sixty-four million, six hundred fifty-six thousand, four hundred forty-nine".