197971200 has 324 divisors, whose sum is σ = 810552288. Its totient is φ = 45158400.

The previous prime is 197971181. The next prime is 197971219. The reversal of 197971200 is 2179791.

It is an interprime number because it is at equal distance from previous prime (197971181) and next prime (197971219).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402955 + ... + 403445.

Almost surely, 2^197971200 is an apocalyptic number.

197971200 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 197971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405276144).

197971200 is an abundant number, since it is smaller than the sum of its proper divisors (612581088).

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

197971200 is a wasteful number, since it uses less digits than its factorization.

197971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 197971200 is about 14070.2238788159. The cubic root of 197971200 is about 582.8194076740.

The spelling of 197971200 in words is "one hundred ninety-seven million, nine hundred seventy-one thousand, two hundred".