393960 has 96 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 88704.

The previous prime is 393947. The next prime is 393961. The reversal of 393960 is 69393.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (393961) by changing a digit.

393960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5847 + ... + 5913.

It is an arithmetic number, because the mean of its divisors is an integer number (14535).

2³⁹³⁹⁶⁰ is an apocalyptic number.

393960 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 393960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680).

393960 is an abundant number, since it is smaller than the sum of its proper divisors (1001400).

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

393960 is a wasteful number, since it uses less digits than its factorization.

393960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 393960 is about 627.6623296009. The cubic root of 393960 is about 73.3078883255.

The spelling of 393960 in words is "three hundred ninety-three thousand, nine hundred sixty".