201298800 has 120 divisors (see below), whose sum is σ = 648252160. Its totient is φ = 53395200.

The previous prime is 201298789. The next prime is 201298817. The reversal of 201298800 is 8892102.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324891 + ... + 325509.

Almost surely, 2^201298800 is an apocalyptic number.

201298800 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 201298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324126080).

201298800 is an abundant number, since it is smaller than the sum of its proper divisors (446953360).

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

201298800 is a wasteful number, since it uses less digits than its factorization.

201298800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 201298800 is about 14187.9808288565. The cubic root of 201298800 is about 586.0667219706.

The spelling of 201298800 in words is "two hundred one million, two hundred ninety-eight thousand, eight hundred".