197800400 has 120 divisors (see below), whose sum is σ = 556672704. Its totient is φ = 66124800.

The previous prime is 197800397. The next prime is 197800403. The reversal of 197800400 is 4008791.

197800400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (197800397) and next prime (197800403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197800403) 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 23 ways as a sum of consecutive naturals, for example, 113939 + ... + 115661.

Almost surely, 2^197800400 is an apocalyptic number.

197800400 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 197800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278336352).

197800400 is an abundant number, since it is smaller than the sum of its proper divisors (358872304).

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

197800400 is a wasteful number, since it uses less digits than its factorization.

197800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 197800400 is about 14064.1530139572. The cubic root of 197800400 is about 582.6517499604.

The spelling of 197800400 in words is "one hundred ninety-seven million, eight hundred thousand, four hundred".