197942400 has 384 divisors, whose sum is σ = 758880000. Its totient is φ = 50319360.

The previous prime is 197942387. The next prime is 197942401. The reversal of 197942400 is 4249791.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197942401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2505561 + ... + 2505639.

It is an arithmetic number, because the mean of its divisors is an integer number (1976250).

Almost surely, 2^197942400 is an apocalyptic number.

197942400 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 197942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440000).

197942400 is an abundant number, since it is smaller than the sum of its proper divisors (560937600).

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

197942400 is a wasteful number, since it uses less digits than its factorization.

197942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 197942400 is about 14069.2004037188. The cubic root of 197942400 is about 582.7911442819.

The spelling of 197942400 in words is "one hundred ninety-seven million, nine hundred forty-two thousand, four hundred".