198465960 has 256 divisors, whose sum is σ = 759767040. Its totient is φ = 40273920.

The previous prime is 198465959. The next prime is 198465991. The reversal of 198465960 is 69564891.

198465960 = 463² + 464² + ... + 885².

198465960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 434052 + ... + 434508.

It is an arithmetic number, because the mean of its divisors is an integer number (2967840).

Almost surely, 2^198465960 is an apocalyptic number.

198465960 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 198465960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379883520).

198465960 is an abundant number, since it is smaller than the sum of its proper divisors (561301080).

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

198465960 is a wasteful number, since it uses less digits than its factorization.

198465960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 198465960 is about 14087.7947174141. The cubic root of 198465960 is about 583.3045217516.

The spelling of 198465960 in words is "one hundred ninety-eight million, four hundred sixty-five thousand, nine hundred sixty".