266856480 has 288 divisors, whose sum is σ = 1052932608. Its totient is φ = 60825600.

The previous prime is 266856461. The next prime is 266856487. The reversal of 266856480 is 84658662.

266856480 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (266856487) 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, 268785 + ... + 269775.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^266856480 is an apocalyptic number.

266856480 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 266856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526466304).

266856480 is an abundant number, since it is smaller than the sum of its proper divisors (786076128).

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

266856480 is a wasteful number, since it uses less digits than its factorization.

266856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 266856480 is about 16335.7424073716. The cubic root of 266856480 is about 643.8122724816.

The spelling of 266856480 in words is "two hundred sixty-six million, eight hundred fifty-six thousand, four hundred eighty".