197473584400 has 135 divisors (see below), whose sum is σ = 504365473039. Its totient is φ = 74286115840.

The previous prime is 197473584397. The next prime is 197473584401. The reversal of 197473584400 is 4485374791.

It is a happy number.

The square root of 197473584400 is 444380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4619105296 + 192854479104 = 67964^2 + 439152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197473584401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151088547 + ... + 151089853.

Almost surely, 2^197473584400 is an apocalyptic number.

197473584400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

197473584400 is the 444380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197473584400

197473584400 is an abundant number, since it is smaller than the sum of its proper divisors (306891888639).

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

197473584400 is an equidigital number, since it uses as much as digits as its factorization.

197473584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 197473584400 in words is "one hundred ninety-seven billion, four hundred seventy-three million, five hundred eighty-four thousand, four hundred".