197248800 has 288 divisors, whose sum is σ = 749952000. Its totient is φ = 44098560.

The previous prime is 197248787. The next prime is 197248819. The reversal of 197248800 is 8842791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991101 + ... + 991299.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 2^197248800 is an apocalyptic number.

197248800 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 197248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

197248800 is an abundant number, since it is smaller than the sum of its proper divisors (552703200).

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

197248800 is a wasteful number, since it uses less digits than its factorization.

197248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 197248800 is about 14044.5291839919. The cubic root of 197248800 is about 582.1096379461.

The spelling of 197248800 in words is "one hundred ninety-seven million, two hundred forty-eight thousand, eight hundred".