172468384 has 48 divisors (see below), whose sum is σ = 372599136. Its totient is φ = 77932800.

The previous prime is 172468381. The next prime is 172468403. The reversal of 172468384 is 483864271.

It is a self number, because there is not a number n which added to its sum of digits gives 172468384.

It is not an unprimeable number, because it can be changed into a prime (172468381) 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 7 ways as a sum of consecutive naturals, for example, 62359 + ... + 65065.

It is an arithmetic number, because the mean of its divisors is an integer number (7762482).

Almost surely, 2^172468384 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 172468384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186299568).

172468384 is an abundant number, since it is smaller than the sum of its proper divisors (200130752).

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

172468384 is a wasteful number, since it uses less digits than its factorization.

172468384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2901 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 172468384 is about 13132.7218808593. The cubic root of 172468384 is about 556.6341297551.

The spelling of 172468384 in words is "one hundred seventy-two million, four hundred sixty-eight thousand, three hundred eighty-four".