198001440 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 41748480.

The previous prime is 198001439. The next prime is 198001471. The reversal of 198001440 is 44100891.

It is a tau number, because it is divible by the number of its divisors (288).

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, 130285 + ... + 131795.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^198001440 is an apocalyptic number.

198001440 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 198001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

198001440 is an abundant number, since it is smaller than the sum of its proper divisors (634154976).

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

198001440 is a wasteful number, since it uses less digits than its factorization.

198001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 198001440 is about 14071.2984475492. The cubic root of 198001440 is about 582.8490812858.

The spelling of 198001440 in words is "one hundred ninety-eight million, one thousand, four hundred forty".