201838800 has 240 divisors, whose sum is σ = 690812928. Its totient is φ = 50265600.

The previous prime is 201838783. The next prime is 201838837. The reversal of 201838800 is 8838102.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1959549 + ... + 1959651.

Almost surely, 2^201838800 is an apocalyptic number.

201838800 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 201838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345406464).

201838800 is an abundant number, since it is smaller than the sum of its proper divisors (488974128).

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

201838800 is a wasteful number, since it uses less digits than its factorization.

201838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 201838800 is about 14206.9982754979. The cubic root of 201838800 is about 586.5903108844.

The spelling of 201838800 in words is "two hundred one million, eight hundred thirty-eight thousand, eight hundred".