266787460 has 72 divisors (see below), whose sum is σ = 602356104. Its totient is φ = 99225600.

The previous prime is 266787449. The next prime is 266787461. The reversal of 266787460 is 64787662.

It can be written as a sum of positive squares in 12 ways, for example, as 27899524 + 238887936 = 5282^2 + 15456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 266787460.

It is not an unprimeable number, because it can be changed into a prime (266787461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583552 + ... + 584008.

It is an arithmetic number, because the mean of its divisors is an integer number (8366057).

Almost surely, 2^266787460 is an apocalyptic number.

266787460 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 266787460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301178052).

266787460 is an abundant number, since it is smaller than the sum of its proper divisors (335568644).

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

266787460 is a wasteful number, since it uses less digits than its factorization.

266787460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The square root of 266787460 is about 16333.6297252019. The cubic root of 266787460 is about 643.7567623005.

The spelling of 266787460 in words is "two hundred sixty-six million, seven hundred eighty-seven thousand, four hundred sixty".