266400 has 108 divisors (see below), whose sum is σ = 964782. Its totient is φ = 69120.

The previous prime is 266381. The next prime is 266401. The reversal of 266400 is 4662.

266400 is a `hidden beast` number, since 2 + 664 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 242064 + 24336 = 492^2 + 156^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (266401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7182 + ... + 7218.

2²⁶⁶⁴⁰⁰ is an apocalyptic number.

266400 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 266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482391).

266400 is an abundant number, since it is smaller than the sum of its proper divisors (698382).

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

266400 is a wasteful number, since it uses less digits than its factorization.

266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 266400 is about 516.1395160226. The cubic root of 266400 is about 64.3444964983.

It can be divided in two parts, 266 and 400, that added together give a palindrome (666).

The spelling of 266400 in words is "two hundred sixty-six thousand, four hundred".