262441 has 8 divisors (see below), whose sum is σ = 277704. Its totient is φ = 247680.

The previous prime is 262433. The next prime is 262459. The reversal of 262441 is 144262.

It can be written as a sum of positive squares in 4 ways, for example, as 78400 + 184041 = 280^2 + 429^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 262441 - 2³ = 262433 is a prime.

It is a d-powerful number, because it can be written as 2 + 6 + 4⁴ + 2⁵ + 4⁹ + 1 .

It is a Duffinian number.

262441 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (262411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1431 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (34713).

2²⁶²⁴⁴¹ is an apocalyptic number.

It is an amenable number.

262441 is a deficient number, since it is larger than the sum of its proper divisors (15263).

262441 is a wasteful number, since it uses less digits than its factorization.

262441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 384, while the sum is 19.

The square root of 262441 is about 512.2899569580. The cubic root of 262441 is about 64.0241607997.

It can be divided in two parts, 2624 and 41, that multiplied together give a square (107584 = 328²).

The spelling of 262441 in words is "two hundred sixty-two thousand, four hundred forty-one".