196946400 has 288 divisors, whose sum is σ = 772450560. Its totient is φ = 42577920.

The previous prime is 196946389. The next prime is 196946417. The reversal of 196946400 is 4649691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318892 + ... + 319508.

It is an arithmetic number, because the mean of its divisors is an integer number (2682120).

Almost surely, 2^196946400 is an apocalyptic number.

196946400 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 196946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386225280).

196946400 is an abundant number, since it is smaller than the sum of its proper divisors (575504160).

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

196946400 is a wasteful number, since it uses less digits than its factorization.

196946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 196946400 is about 14033.7592967815. The cubic root of 196946400 is about 581.8120104696.

The spelling of 196946400 in words is "one hundred ninety-six million, nine hundred forty-six thousand, four hundred".