197463200 has 144 divisors (see below), whose sum is σ = 554027040. Its totient is φ = 67968000.

The previous prime is 197463197. The next prime is 197463221. The reversal of 197463200 is 2364791.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166610 + ... + 167790.

It is an arithmetic number, because the mean of its divisors is an integer number (3847410).

Almost surely, 2^197463200 is an apocalyptic number.

197463200 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 197463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277013520).

197463200 is an abundant number, since it is smaller than the sum of its proper divisors (356563840).

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

197463200 is a wasteful number, since it uses less digits than its factorization.

197463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 197463200 is about 14052.1599763168. The cubic root of 197463200 is about 582.3204700101.

The spelling of 197463200 in words is "one hundred ninety-seven million, four hundred sixty-three thousand, two hundred".