197891400 has 288 divisors, whose sum is σ = 732810240. Its totient is φ = 44029440.

The previous prime is 197891303. The next prime is 197891417. The reversal of 197891400 is 4198791.

It is a happy number.

197891400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×197891400² = 78322012387920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1558137 + ... + 1558263.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^197891400 is an apocalyptic number.

197891400 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 197891400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366405120).

197891400 is an abundant number, since it is smaller than the sum of its proper divisors (534918840).

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

197891400 is a wasteful number, since it uses less digits than its factorization.

197891400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 197891400 is about 14067.3878172175. The cubic root of 197891400 is about 582.7410877985.

The spelling of 197891400 in words is "one hundred ninety-seven million, eight hundred ninety-one thousand, four hundred".