171008448 has 112 divisors (see below), whose sum is σ = 491922816. Its totient is φ = 52116480.

The previous prime is 171008441. The next prime is 171008449. The reversal of 171008448 is 844800171.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171008441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326715 + ... + 327237.

It is an arithmetic number, because the mean of its divisors is an integer number (4392168).

Almost surely, 2^171008448 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 171008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245961408).

171008448 is an abundant number, since it is smaller than the sum of its proper divisors (320914368).

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

171008448 is a wasteful number, since it uses less digits than its factorization.

171008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 171008448 is about 13077.0198439859. The cubic root of 171008448 is about 555.0590506117.

The spelling of 171008448 in words is "one hundred seventy-one million, eight thousand, four hundred forty-eight".