266900400 has 240 divisors, whose sum is σ = 1023580320. Its totient is φ = 65664000.

The previous prime is 266900377. The next prime is 266900401. The reversal of 266900400 is 4009662.

266900400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (266900401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139450 + ... + 141350.

It is an arithmetic number, because the mean of its divisors is an integer number (4264918).

Almost surely, 2^266900400 is an apocalyptic number.

266900400 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 266900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511790160).

266900400 is an abundant number, since it is smaller than the sum of its proper divisors (756679920).

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

266900400 is a wasteful number, since it uses less digits than its factorization.

266900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 266900400 is about 16337.0866435849. The cubic root of 266900400 is about 643.8475906970.

The spelling of 266900400 in words is "two hundred sixty-six million, nine hundred thousand, four hundred".