393400 has 48 divisors (see below), whose sum is σ = 1049040. Its totient is φ = 134400.

The previous prime is 393383. The next prime is 393401. The reversal of 393400 is 4393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1260 + ... + 1540.

It is an arithmetic number, because the mean of its divisors is an integer number (21855).

2³⁹³⁴⁰⁰ 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 393400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524520).

393400 is an abundant number, since it is smaller than the sum of its proper divisors (655640).

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

393400 is a wasteful number, since it uses less digits than its factorization.

393400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 393400 is about 627.2160712227. The cubic root of 393400 is about 73.2731370104.

Adding to 393400 its reverse (4393), we get a palindrome (397793).

The spelling of 393400 in words is "three hundred ninety-three thousand, four hundred".