393468768 has 216 divisors, whose sum is σ = 1406465424. Its totient is φ = 102136320.

The previous prime is 393468749. The next prime is 393468769. The reversal of 393468768 is 867864393.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393468769) 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 35 ways as a sum of consecutive naturals, for example, 243130 + ... + 244742.

It is an arithmetic number, because the mean of its divisors is an integer number (6511414).

Almost surely, 2^393468768 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 393468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703232712).

393468768 is an abundant number, since it is smaller than the sum of its proper divisors (1012996656).

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

393468768 is a wasteful number, since it uses less digits than its factorization.

393468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1636 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 393468768 is about 19836.0471868767. The cubic root of 393468768 is about 732.7740624738.

The spelling of 393468768 in words is "three hundred ninety-three million, four hundred sixty-eight thousand, seven hundred sixty-eight".