198202464 has 144 divisors (see below), whose sum is σ = 594397440. Its totient is φ = 64955520.

The previous prime is 198202453. The next prime is 198202483. The reversal of 198202464 is 464202891.

198202464 is a `hidden beast` number, since 198 + 2 + 0 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551917 + ... + 552275.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^198202464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198202464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

198202464 is an abundant number, since it is smaller than the sum of its proper divisors (396194976).

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

198202464 is an equidigital number, since it uses as much as digits as its factorization.

198202464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 198202464 is about 14078.4396862721. The cubic root of 198202464 is about 583.0462633943.

The spelling of 198202464 in words is "one hundred ninety-eight million, two hundred two thousand, four hundred sixty-four".