197258880 has 256 divisors, whose sum is σ = 774547200. Its totient is φ = 41582592.

The previous prime is 197258857. The next prime is 197258881. The reversal of 197258880 is 88852791.

It is a super-2 number, since 2×197258880² = 77822131477708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (197258881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174156 + ... + 175284.

It is an arithmetic number, because the mean of its divisors is an integer number (3025575).

Almost surely, 2^197258880 is an apocalyptic number.

197258880 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 197258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387273600).

197258880 is an abundant number, since it is smaller than the sum of its proper divisors (577288320).

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

197258880 is a wasteful number, since it uses less digits than its factorization.

197258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The square root of 197258880 is about 14044.8880380016. Note that the first 3 decimals coincide. The cubic root of 197258880 is about 582.1195536214.

The spelling of 197258880 in words is "one hundred ninety-seven million, two hundred fifty-eight thousand, eight hundred eighty".