198132400 has 60 divisors (see below), whose sum is σ = 483183112. Its totient is φ = 78059520.

The previous prime is 198132397. The next prime is 198132409. The reversal of 198132400 is 4231891.

It is a happy number.

198132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×198132400³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (198132409) 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, 23104 + ... + 30496.

Almost surely, 2^198132400 is an apocalyptic number.

198132400 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 198132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591556).

198132400 is an abundant number, since it is smaller than the sum of its proper divisors (285050712).

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

198132400 is a wasteful number, since it uses less digits than its factorization.

198132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 198132400 is about 14075.9511223931. The cubic root of 198132400 is about 582.9775535727.

The spelling of 198132400 in words is "one hundred ninety-eight million, one hundred thirty-two thousand, four hundred".