197851200 has 168 divisors, whose sum is σ = 663683712. Its totient is φ = 51578880.

The previous prime is 197851189. The next prime is 197851231. The reversal of 197851200 is 2158791.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225162 + ... + 226038.

Almost surely, 2^197851200 is an apocalyptic number.

197851200 is a gapful number since it is divisible by the number (10) 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 197851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331841856).

197851200 is an abundant number, since it is smaller than the sum of its proper divisors (465832512).

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

197851200 is a wasteful number, since it uses less digits than its factorization.

197851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 197851200 is about 14065.9589079451. The cubic root of 197851200 is about 582.7016254500.

The spelling of 197851200 in words is "one hundred ninety-seven million, eight hundred fifty-one thousand, two hundred".