264745441 has 9 divisors (see below), whose sum is σ = 270716691. Its totient is φ = 258904152.

The previous prime is 264745427. The next prime is 264745447. The reversal of 264745441 is 144547462.

The square root of 264745441 is 16271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 190854225 + 73891216 = 13815^2 + 8596^2 .

It is not a de Polignac number, because 264745441 - 2¹¹ = 264743393 is a prime.

It is a super-3 number, since 3×264745441³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 264745441.

It is not an unprimeable number, because it can be changed into a prime (264745447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 862210 + ... + 862516.

Almost surely, 2^264745441 is an apocalyptic number.

264745441 is the 16271-st square number.

264745441 is the 8136-th centered octagonal number.

It is an amenable number.

264745441 is a deficient number, since it is larger than the sum of its proper divisors (5971250).

264745441 is an frugal number, since it uses more digits than its factorization.

264745441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 360 counting only the distinct ones).

The product of its digits is 107520, while the sum is 37.

The cubic root of 264745441 is about 642.1100934373.

The spelling of 264745441 in words is "two hundred sixty-four million, seven hundred forty-five thousand, four hundred forty-one".