262400 has 54 divisors (see below), whose sum is σ = 665322. Its totient is φ = 102400.

The previous prime is 262399. The next prime is 262411. The reversal of 262400 is 4262.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 262144 = 16^2 + 512^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6380 + ... + 6420.

2²⁶²⁴⁰⁰ is an apocalyptic number.

262400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332661).

262400 is an abundant number, since it is smaller than the sum of its proper divisors (402922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

262400 is an equidigital number, since it uses as much as digits as its factorization.

262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 262400 is about 512.2499389946. The cubic root of 262400 is about 64.0208265553.

Adding to 262400 its reverse (4262), we get a palindrome (266662).

The spelling of 262400 in words is "two hundred sixty-two thousand, four hundred".