393530172 has 72 divisors (see below), whose sum is σ = 1071458640. Its totient is φ = 112089600.

The previous prime is 393530167. The next prime is 393530173. The reversal of 393530172 is 271035393.

It is a super-3 number, since 3×393530172³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393530173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234954 + ... + 236622.

It is an arithmetic number, because the mean of its divisors is an integer number (14881370).

Almost surely, 2^393530172 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 393530172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535729320).

393530172 is an abundant number, since it is smaller than the sum of its proper divisors (677928468).

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

393530172 is a wasteful number, since it uses less digits than its factorization.

393530172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 393530172 is about 19837.5949147068. The cubic root of 393530172 is about 732.8121789410.

The spelling of 393530172 in words is "three hundred ninety-three million, five hundred thirty thousand, one hundred seventy-two".