198246400 has 153 divisors (see below), whose sum is σ = 540405733. Its totient is φ = 72089600.

The previous prime is 198246397. The next prime is 198246403. The reversal of 198246400 is 4642891.

The square root of 198246400 is 14080.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (198246397) and next prime (198246403).

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 126877696 = 8448^2 + 11264^2 .

It is a super-2 number, since 2×198246400² = 78603270225920000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198246403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18022395 + ... + 18022405.

Almost surely, 2^198246400 is an apocalyptic number.

198246400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198246400 is a droll number since its even prime factors and its odd prime factors have the same sum.

198246400 is the 14080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198246400

198246400 is an abundant number, since it is smaller than the sum of its proper divisors (342159333).

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

198246400 is an frugal number, since it uses more digits than its factorization.

198246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 198246400 is about 583.0893419507.

The spelling of 198246400 in words is "one hundred ninety-eight million, two hundred forty-six thousand, four hundred".