171840480 has 192 divisors, whose sum is σ = 624153600. Its totient is φ = 38928384.

The previous prime is 171840463. The next prime is 171840481. The reversal of 171840480 is 84048171.

171840480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171840481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668512 + ... + 668768.

It is an arithmetic number, because the mean of its divisors is an integer number (3250800).

Almost surely, 2^171840480 is an apocalyptic number.

171840480 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 171840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312076800).

171840480 is an abundant number, since it is smaller than the sum of its proper divisors (452313120).

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

171840480 is a wasteful number, since it uses less digits than its factorization.

171840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

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

The square root of 171840480 is about 13108.7939948723. The cubic root of 171840480 is about 555.9577974627.

The spelling of 171840480 in words is "one hundred seventy-one million, eight hundred forty thousand, four hundred eighty".