393320160 has 144 divisors (see below), whose sum is σ = 1421246736. Its totient is φ = 98709504.

The previous prime is 393320113. The next prime is 393320189. The reversal of 393320160 is 61023393.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16447 + ... + 32513.

It is an arithmetic number, because the mean of its divisors is an integer number (9869769).

Almost surely, 2^393320160 is an apocalyptic number.

393320160 is a gapful number since it is divisible by the number (30) 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 393320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710623368).

393320160 is an abundant number, since it is smaller than the sum of its proper divisors (1027926576).

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

393320160 is a wasteful number, since it uses less digits than its factorization.

393320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 393320160 is about 19832.3009255104. The cubic root of 393320160 is about 732.6817978020.

The spelling of 393320160 in words is "three hundred ninety-three million, three hundred twenty thousand, one hundred sixty".