198456048 has 320 divisors, whose sum is σ = 704716800. Its totient is φ = 52254720.

The previous prime is 198455993. The next prime is 198456053. The reversal of 198456048 is 840654891.

198456048 is a `hidden beast` number, since 1 + 9 + 84 + 560 + 4 + 8 = 666.

198456048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×198456048⁴ (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198455994 and 198456012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2718540 + ... + 2718612.

It is an arithmetic number, because the mean of its divisors is an integer number (2202240).

Almost surely, 2^198456048 is an apocalyptic number.

198456048 is a gapful number since it is divisible by the number (18) 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 198456048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352358400).

198456048 is an abundant number, since it is smaller than the sum of its proper divisors (506260752).

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

198456048 is a wasteful number, since it uses less digits than its factorization.

198456048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

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

The square root of 198456048 is about 14087.4429191390. The cubic root of 198456048 is about 583.2948109164.

The spelling of 198456048 in words is "one hundred ninety-eight million, four hundred fifty-six thousand, forty-eight".