393412252288 has 128 divisors (see below), whose sum is σ = 865349786880. Its totient is φ = 178142976000.

The previous prime is 393412252279. The next prime is 393412252313. The reversal of 393412252288 is 882252214393.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×393412252288² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46165468 + ... + 46173988.

It is an arithmetic number, because the mean of its divisors is an integer number (6760545210).

Almost surely, 2^393412252288 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 393412252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432674893440).

393412252288 is an abundant number, since it is smaller than the sum of its proper divisors (471937534592).

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

393412252288 is an equidigital number, since it uses as much as digits as its factorization.

393412252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8839 (or 8805 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The spelling of 393412252288 in words is "three hundred ninety-three billion, four hundred twelve million, two hundred fifty-two thousand, two hundred eighty-eight".