201491200 has 108 divisors (see below), whose sum is σ = 525287560. Its totient is φ = 76308480.

The previous prime is 201491167. The next prime is 201491221. The reversal of 201491200 is 2194102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120772 + ... + 122428.

Almost surely, 2^201491200 is an apocalyptic number.

201491200 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 201491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262643780).

201491200 is an abundant number, since it is smaller than the sum of its proper divisors (323796360).

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

201491200 is a wasteful number, since it uses less digits than its factorization.

201491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 201491200 is about 14194.7595964144. The cubic root of 201491200 is about 586.2533820194.

It can be divided in two parts, 201 and 491200, that added together give a square (491401 = 701²).

The spelling of 201491200 in words is "two hundred one million, four hundred ninety-one thousand, two hundred".