266138400 has 288 divisors, whose sum is σ = 1002310848. Its totient is φ = 60620800.

The previous prime is 266138357. The next prime is 266138401. The reversal of 266138400 is 4831662.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266138401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448504 + ... + 449096.

It is an arithmetic number, because the mean of its divisors is an integer number (3480246).

Almost surely, 2^266138400 is an apocalyptic number.

266138400 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 266138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501155424).

266138400 is an abundant number, since it is smaller than the sum of its proper divisors (736172448).

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

266138400 is a wasteful number, since it uses less digits than its factorization.

266138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 266138400 is about 16313.7488027737. The cubic root of 266138400 is about 643.2342788840.

The spelling of 266138400 in words is "two hundred sixty-six million, one hundred thirty-eight thousand, four hundred".