256672441 has 9 divisors (see below), whose sum is σ = 264407661. Its totient is φ = 249158592.

The previous prime is 256672421. The next prime is 256672457. The reversal of 256672441 is 144276652.

The square root of 256672441 is 16021.

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

256672441 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 4 ways, for example, as 32041 + 256640400 = 179^2 + 16020^2 .

It is not a de Polignac number, because 256672441 - 2¹⁵ = 256639673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 256672441.

It is not an unprimeable number, because it can be changed into a prime (256672421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 592561 + ... + 592993.

It is an arithmetic number, because the mean of its divisors is an integer number (29378629).

Almost surely, 2^256672441 is an apocalyptic number.

256672441 is the 16021-st square number.

256672441 is the 8011-st centered octagonal number.

It is an amenable number.

256672441 is a deficient number, since it is larger than the sum of its proper divisors (7735220).

256672441 is an frugal number, since it uses more digits than its factorization.

256672441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The cubic root of 256672441 is about 635.5158896909.

The spelling of 256672441 in words is "two hundred fifty-six million, six hundred seventy-two thousand, four hundred forty-one".