266400000 has 324 divisors, whose sum is σ = 986007204. Its totient is φ = 69120000.

The previous prime is 266399999. The next prime is 266400031. The reversal of 266400000 is 4662.

266400000 is a `hidden beast` number, since 2 + 664 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 166719744 + 99680256 = 12912^2 + 9984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7199982 + ... + 7200018.

Almost surely, 2^266400000 is an apocalyptic number.

266400000 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 266400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493003602).

266400000 is an abundant number, since it is smaller than the sum of its proper divisors (719607204).

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

266400000 is an frugal number, since it uses more digits than its factorization.

266400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 47 counting only the distinct ones).

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

The square root of 266400000 is about 16321.7646104825. The cubic root of 266400000 is about 643.4449649830. Note that the first 3 decimals are identical.

Adding to 266400000 its reverse (4662), we get a palindrome (266404662).

The spelling of 266400000 in words is "two hundred sixty-six million, four hundred thousand".