266401600 has 168 divisors, whose sum is σ = 698455296. Its totient is φ = 99840000.

The previous prime is 266401561. The next prime is 266401607. The reversal of 266401600 is 6104662.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266401607) 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, 2033535 + ... + 2033665.

It is an arithmetic number, because the mean of its divisors is an integer number (4157472).

Almost surely, 2^266401600 is an apocalyptic number.

266401600 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 266401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349227648).

266401600 is an abundant number, since it is smaller than the sum of its proper divisors (432053696).

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

266401600 is a wasteful number, since it uses less digits than its factorization.

266401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 266401600 is about 16321.8136247171. The cubic root of 266401600 is about 643.4462531585.

The spelling of 266401600 in words is "two hundred sixty-six million, four hundred one thousand, six hundred".