266448 has 80 divisors (see below), whose sum is σ = 861056. Its totient is φ = 69120.

The previous prime is 266447. The next prime is 266449. The reversal of 266448 is 844662.

It is an interprime number because it is at equal distance from previous prime (266447) and next prime (266449).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁷ + 6² + 4⁶ + 6² + 4⁹ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4338 + ... + 4398.

2²⁶⁶⁴⁴⁸ is an apocalyptic number.

266448 is a gapful number since it is divisible by the number (28) 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 266448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430528).

266448 is an abundant number, since it is smaller than the sum of its proper divisors (594608).

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

266448 is a wasteful number, since it uses less digits than its factorization.

266448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 266448 is about 516.1860129837. The cubic root of 266448 is about 64.3483608005.

The spelling of 266448 in words is "two hundred sixty-six thousand, four hundred forty-eight".