393000 has 64 divisors (see below), whose sum is σ = 1235520. Its totient is φ = 104000.

The previous prime is 392983. The next prime is 393007. The reversal of 393000 is 393.

It is a hoax number, since the sum of its digits (15) 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393007) by changing a digit.

393000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2935 + ... + 3065.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2³⁹³⁰⁰⁰ is an apocalyptic number.

393000 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 393000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617760).

393000 is an abundant number, since it is smaller than the sum of its proper divisors (842520).

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

393000 is a wasteful number, since it uses less digits than its factorization.

393000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 393000 is about 626.8971207463. The cubic root of 393000 is about 73.2482944463.

Adding to 393000 its reverse (393), we get a palindrome (393393).

393000 divided by its reverse (393) gives a cube (1000 = 10³).

The spelling of 393000 in words is "three hundred ninety-three thousand".