266276400 has 240 divisors, whose sum is σ = 933169440. Its totient is φ = 64896000.

The previous prime is 266276377. The next prime is 266276401. The reversal of 266276400 is 4672662.

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266276401) 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, 2636350 + ... + 2636450.

It is an arithmetic number, because the mean of its divisors is an integer number (3888206).

Almost surely, 2^266276400 is an apocalyptic number.

266276400 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 266276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466584720).

266276400 is an abundant number, since it is smaller than the sum of its proper divisors (666893040).

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

266276400 is a wasteful number, since it uses less digits than its factorization.

266276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 266276400 is about 16317.9778158937. The cubic root of 266276400 is about 643.3454378302.

The spelling of 266276400 in words is "two hundred sixty-six million, two hundred seventy-six thousand, four hundred".