266846400 has 420 divisors, whose sum is σ = 1028974320. Its totient is φ = 67737600.

The previous prime is 266846387. The next prime is 266846407. The reversal of 266846400 is 4648662.

It is a happy number.

266846400 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 4 + 640 + 0 = 666.

266846400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266846407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3758365 + ... + 3758435.

Almost surely, 2^266846400 is an apocalyptic number.

266846400 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 266846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514487160).

266846400 is an abundant number, since it is smaller than the sum of its proper divisors (762127920).

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

266846400 is a wasteful number, since it uses less digits than its factorization.

266846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 266846400 is about 16335.4338785353. The cubic root of 266846400 is about 643.8041661150.

The spelling of 266846400 in words is "two hundred sixty-six million, eight hundred forty-six thousand, four hundred".