266800400 has 60 divisors (see below), whose sum is σ = 649839732. Its totient is φ = 105246720.

The previous prime is 266800393. The next prime is 266800409. The reversal of 266800400 is 4008662.

266800400 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 6 ways, for example, as 50239744 + 216560656 = 7088^2 + 14716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 266800400.

It is not an unprimeable number, because it can be changed into a prime (266800409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24632 + ... + 33768.

Almost surely, 2^266800400 is an apocalyptic number.

266800400 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 266800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324919866).

266800400 is an abundant number, since it is smaller than the sum of its proper divisors (383039332).

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

266800400 is a wasteful number, since it uses less digits than its factorization.

266800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 266800400 is about 16334.0258356597. The cubic root of 266800400 is about 643.7671701833.

The spelling of 266800400 in words is "two hundred sixty-six million, eight hundred thousand, four hundred".