171888480 has 144 divisors (see below), whose sum is σ = 608431824. Its totient is φ = 45826560.

The previous prime is 171888473. The next prime is 171888491. The reversal of 171888480 is 84888171.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36670 + ... + 41090.

It is an arithmetic number, because the mean of its divisors is an integer number (4225221).

Almost surely, 2^171888480 is an apocalyptic number.

171888480 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 171888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304215912).

171888480 is an abundant number, since it is smaller than the sum of its proper divisors (436543344).

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

171888480 is an equidigital number, since it uses as much as digits as its factorization.

171888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The square root of 171888480 is about 13110.6246990752. The cubic root of 171888480 is about 556.0095576571.

The spelling of 171888480 in words is "one hundred seventy-one million, eight hundred eighty-eight thousand, four hundred eighty".