198317400 has 96 divisors (see below), whose sum is σ = 617103360. Its totient is φ = 52685440.

The previous prime is 198317389. The next prime is 198317411. The reversal of 198317400 is 4713891.

It is an interprime number because it is at equal distance from previous prime (198317389) and next prime (198317411).

It is a super-2 number, since 2×198317400² = 78659582285520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229369 + ... + 230231.

It is an arithmetic number, because the mean of its divisors is an integer number (6428160).

Almost surely, 2^198317400 is an apocalyptic number.

198317400 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 198317400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308551680).

198317400 is an abundant number, since it is smaller than the sum of its proper divisors (418785960).

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

198317400 is a wasteful number, since it uses less digits than its factorization.

198317400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 198317400 is about 14082.5210811133. The cubic root of 198317400 is about 583.1589428816.

The spelling of 198317400 in words is "one hundred ninety-eight million, three hundred seventeen thousand, four hundred".