198852480 has 384 divisors, whose sum is σ = 763776000. Its totient is φ = 47443968.

The previous prime is 198852443. The next prime is 198852509. The reversal of 198852480 is 84258891.

It is a happy number.

198852480 is a `hidden beast` number, since 1 + 98 + 85 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2517081 + ... + 2517159.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^198852480 is an apocalyptic number.

198852480 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 198852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

198852480 is an abundant number, since it is smaller than the sum of its proper divisors (564923520).

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

198852480 is a wasteful number, since it uses less digits than its factorization.

198852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 198852480 is about 14101.5063025196. The cubic root of 198852480 is about 583.6829454347.

The spelling of 198852480 in words is "one hundred ninety-eight million, eight hundred fifty-two thousand, four hundred eighty".