393122688 has 192 divisors, whose sum is σ = 1287219600. Its totient is φ = 105627648.

The previous prime is 393122683. The next prime is 393122689. The reversal of 393122688 is 886221393.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393122683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319258 + ... + 320486.

Almost surely, 2^393122688 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 393122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643609800).

393122688 is an abundant number, since it is smaller than the sum of its proper divisors (894096912).

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

393122688 is a wasteful number, since it uses less digits than its factorization.

393122688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1258 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 393122688 is about 19827.3217555978. The cubic root of 393122688 is about 732.5591594910.

The spelling of 393122688 in words is "three hundred ninety-three million, one hundred twenty-two thousand, six hundred eighty-eight".