193508448 has 144 divisors (see below), whose sum is σ = 610412544. Its totient is φ = 53464320.

The previous prime is 193508443. The next prime is 193508449. The reversal of 193508448 is 844805391.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193508443) by changing a digit.

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, 145161 + ... + 146487.

It is an arithmetic number, because the mean of its divisors is an integer number (4238976).

Almost surely, 2^193508448 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 193508448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305206272).

193508448 is an abundant number, since it is smaller than the sum of its proper divisors (416904096).

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

193508448 is a wasteful number, since it uses less digits than its factorization.

193508448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 193508448 is about 13910.7313970186. The cubic root of 193508448 is about 578.4066932569.

The spelling of 193508448 in words is "one hundred ninety-three million, five hundred eight thousand, four hundred forty-eight".