201270800 has 120 divisors (see below), whose sum is σ = 517556160. Its totient is φ = 74995200.

The previous prime is 201270799. The next prime is 201270809. The reversal of 201270800 is 8072102.

201270800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201270809) 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, 539414 + ... + 539786.

It is an arithmetic number, because the mean of its divisors is an integer number (4312968).

Almost surely, 2^201270800 is an apocalyptic number.

201270800 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 201270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258778080).

201270800 is an abundant number, since it is smaller than the sum of its proper divisors (316285360).

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

201270800 is a wasteful number, since it uses less digits than its factorization.

201270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 201270800 is about 14186.9940438417. The cubic root of 201270800 is about 586.0395473937.

The spelling of 201270800 in words is "two hundred one million, two hundred seventy thousand, eight hundred".