266142400 has 84 divisors (see below), whose sum is σ = 659211280. Its totient is φ = 105753600.

The previous prime is 266142397. The next prime is 266142403. The reversal of 266142400 is 4241662.

It is an interprime number because it is at equal distance from previous prime (266142397) and next prime (266142403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (266142403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 289141 + ... + 290059.

Almost surely, 2^266142400 is an apocalyptic number.

266142400 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 266142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329605640).

266142400 is an abundant number, since it is smaller than the sum of its proper divisors (393068880).

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

266142400 is a wasteful number, since it uses less digits than its factorization.

266142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 266142400 is about 16313.8713982917. The cubic root of 266142400 is about 643.2375014231.

The spelling of 266142400 in words is "two hundred sixty-six million, one hundred forty-two thousand, four hundred".