393080 has 32 divisors (see below), whose sum is σ = 915840. Its totient is φ = 151680.

The previous prime is 393079. The next prime is 393083. The reversal of 393080 is 80393.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393080.

It is not an unprimeable number, because it can be changed into a prime (393083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1082 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (28620).

2³⁹³⁰⁸⁰ 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 393080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457920).

393080 is an abundant number, since it is smaller than the sum of its proper divisors (522760).

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

393080 is a wasteful number, since it uses less digits than its factorization.

393080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 393080 is about 626.9609238222. The cubic root of 393080 is about 73.2532643072.

The spelling of 393080 in words is "three hundred ninety-three thousand, eighty".