198593472 has 336 divisors, whose sum is σ = 708842880. Its totient is φ = 48384000.

The previous prime is 198593449. The next prime is 198593489. The reversal of 198593472 is 274395891.

198593472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (544320) is a multiple of the sum of its prime factors (160).

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, 1966222 + ... + 1966322.

Almost surely, 2^198593472 is an apocalyptic number.

198593472 is a gapful number since it is divisible by the number (12) 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 198593472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354421440).

198593472 is an abundant number, since it is smaller than the sum of its proper divisors (510249408).

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

198593472 is a wasteful number, since it uses less digits than its factorization.

198593472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 198593472 is about 14092.3196103409. The cubic root of 198593472 is about 583.4294170616.

The spelling of 198593472 in words is "one hundred ninety-eight million, five hundred ninety-three thousand, four hundred seventy-two".