266442000 has 240 divisors, whose sum is σ = 946772736. Its totient is φ = 64416000.

The previous prime is 266441977. The next prime is 266442041. The reversal of 266442000 is 244662.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725817 + ... + 726183.

Almost surely, 2^266442000 is an apocalyptic number.

266442000 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 266442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473386368).

266442000 is an abundant number, since it is smaller than the sum of its proper divisors (680330736).

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

266442000 is a wasteful number, since it uses less digits than its factorization.

266442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 266442000 is about 16323.0511853636. The cubic root of 266442000 is about 643.4787778815.

Adding to 266442000 its reverse (244662), we get a palindrome (266686662).

The spelling of 266442000 in words is "two hundred sixty-six million, four hundred forty-two thousand".