196700400 has 300 divisors, whose sum is σ = 761873112. Its totient is φ = 48314880.

The previous prime is 196700351. The next prime is 196700401. The reversal of 196700400 is 4007691.

196700400 is a `hidden beast` number, since 196 + 70 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196700401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 420967 + ... + 421433.

Almost surely, 2^196700400 is an apocalyptic number.

196700400 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 196700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380936556).

196700400 is an abundant number, since it is smaller than the sum of its proper divisors (565172712).

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

196700400 is a wasteful number, since it uses less digits than its factorization.

196700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 196700400 is about 14024.9919786073. The cubic root of 196700400 is about 581.5696680736.

The spelling of 196700400 in words is "one hundred ninety-six million, seven hundred thousand, four hundred".