201356800 has 60 divisors (see below), whose sum is σ = 498908916. Its totient is φ = 80537600.

The previous prime is 201356797. The next prime is 201356801. The reversal of 201356800 is 8653102.

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 (201356801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4935 + ... + 20665.

Almost surely, 2^201356800 is an apocalyptic number.

201356800 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 201356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249454458).

201356800 is an abundant number, since it is smaller than the sum of its proper divisors (297552116).

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

201356800 is an equidigital number, since it uses as much as digits as its factorization.

201356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15759 (or 15738 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 201356800 is about 14190.0246652358. The cubic root of 201356800 is about 586.1230041503.

The spelling of 201356800 in words is "two hundred one million, three hundred fifty-six thousand, eight hundred".