198312400 has 120 divisors (see below), whose sum is σ = 559901664. Its totient is φ = 66547200.

The previous prime is 198312391. The next prime is 198312407. The reversal of 198312400 is 4213891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198312407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55467 + ... + 58933.

Almost surely, 2^198312400 is an apocalyptic number.

198312400 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 198312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279950832).

198312400 is an abundant number, since it is smaller than the sum of its proper divisors (361589264).

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

198312400 is a wasteful number, since it uses less digits than its factorization.

198312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3498 counting only the distinct ones).

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

The square root of 198312400 is about 14082.3435549627. The cubic root of 198312400 is about 583.1540419514.

The spelling of 198312400 in words is "one hundred ninety-eight million, three hundred twelve thousand, four hundred".