198250400 has 36 divisors (see below), whose sum is σ = 483980742. Its totient is φ = 79299840.

The previous prime is 198250319. The next prime is 198250417. The reversal of 198250400 is 4052891.

It can be written as a sum of positive squares in 3 ways, for example, as 89340304 + 108910096 = 9452^2 + 10436^2 .

It is a super-2 number, since 2×198250400² = 78606442200320000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 123107 + ... + 124706.

Almost surely, 2^198250400 is an apocalyptic number.

198250400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198250400 is an abundant number, since it is smaller than the sum of its proper divisors (285730342).

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

198250400 is a wasteful number, since it uses less digits than its factorization.

198250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247833 (or 247820 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 198250400 is about 14080.1420447380. The cubic root of 198250400 is about 583.0932635716.

The spelling of 198250400 in words is "one hundred ninety-eight million, two hundred fifty thousand, four hundred".