196374400 has 96 divisors (see below), whose sum is σ = 490426200. Its totient is φ = 77690880.

The previous prime is 196374389. The next prime is 196374407. The reversal of 196374400 is 4473691.

It is a happy number.

196374400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196374407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348519 + ... + 349081.

Almost surely, 2^196374400 is an apocalyptic number.

196374400 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 196374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245213100).

196374400 is an abundant number, since it is smaller than the sum of its proper divisors (294051800).

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

196374400 is a wasteful number, since it uses less digits than its factorization.

196374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 196374400 is about 14013.3650491236. The cubic root of 196374400 is about 581.2482036403.

The spelling of 196374400 in words is "one hundred ninety-six million, three hundred seventy-four thousand, four hundred".