262401 has 8 divisors (see below), whose sum is σ = 357504. Its totient is φ = 171120.

The previous prime is 262399. The next prime is 262411. The reversal of 262401 is 104262.

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

It is not a de Polignac number, because 262401 - 2¹ = 262399 is a prime.

It is a d-powerful number, because it can be written as 2³ + 6³ + 4⁹ + 2⁵ + 0 + 1 .

It is a Curzon 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 (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2²⁶²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

262401 is a deficient number, since it is larger than the sum of its proper divisors (95103).

262401 is a wasteful number, since it uses less digits than its factorization.

262401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 262401 is about 512.2509150797. The cubic root of 262401 is about 64.0209078825.

Adding to 262401 its reverse (104262), we get a palindrome (366663).

It can be divided in two parts, 26 and 2401, that multiplied together give a palindrome (62426).

The spelling of 262401 in words is "two hundred sixty-two thousand, four hundred one".