393130368 has 128 divisors (see below), whose sum is σ = 1221552000. Its totient is φ = 124125696.

The previous prime is 393130363. The next prime is 393130369. The reversal of 393130368 is 863031393.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393130363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62671 + ... + 68657.

It is an arithmetic number, because the mean of its divisors is an integer number (9543375).

Almost surely, 2^393130368 is an apocalyptic number.

393130368 is a gapful number since it is divisible by the number (38) 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 393130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610776000).

393130368 is an abundant number, since it is smaller than the sum of its proper divisors (828421632).

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

393130368 is a wasteful number, since it uses less digits than its factorization.

393130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 393130368 is about 19827.5154268002. The cubic root of 393130368 is about 732.5639298573.

The spelling of 393130368 in words is "three hundred ninety-three million, one hundred thirty thousand, three hundred sixty-eight".