198648450 has 480 divisors, whose sum is σ = 756201600. Its totient is φ = 38102400.

The previous prime is 198648427. The next prime is 198648469. The reversal of 198648450 is 54846891.

198648450 is a `hidden beast` number, since 198 + 6 + 4 + 8 + 450 = 666.

It is a super-2 number, since 2×198648450² = 78922413374805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 198648396 and 198648405.

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 239 ways as a sum of consecutive naturals, for example, 15280644 + ... + 15280656.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 2^198648450 is an apocalyptic number.

198648450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198648450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378100800).

198648450 is an abundant number, since it is smaller than the sum of its proper divisors (557553150).

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

198648450 is a wasteful number, since it uses less digits than its factorization.

198648450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 198648450 is about 14094.2701123542. The cubic root of 198648450 is about 583.4832503568.

The spelling of 198648450 in words is "one hundred ninety-eight million, six hundred forty-eight thousand, four hundred fifty".