393168864 has 96 divisors (see below), whose sum is σ = 1142902656. Its totient is φ = 117342720.

The previous prime is 393168829. The next prime is 393168869. The reversal of 393168864 is 468861393.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393168869) 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 15 ways as a sum of consecutive naturals, for example, 67974 + ... + 73530.

It is an arithmetic number, because the mean of its divisors is an integer number (11905236).

Almost surely, 2^393168864 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 393168864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571451328).

393168864 is an abundant number, since it is smaller than the sum of its proper divisors (749733792).

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

393168864 is a wasteful number, since it uses less digits than its factorization.

393168864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5640 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 393168864 is about 19828.4861751975. The cubic root of 393168864 is about 732.5878403824.

It can be divided in two parts, 39 and 3168864, that added together give a triangular number (3168903 = T₂₅₁₇).

The spelling of 393168864 in words is "three hundred ninety-three million, one hundred sixty-eight thousand, eight hundred sixty-four".