393441 has 8 divisors (see below), whose sum is σ = 527520. Its totient is φ = 260832.

The previous prime is 393413. The next prime is 393451. The reversal of 393441 is 144393.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 393441 - 2⁶ = 393377 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 7 ways as a sum of consecutive naturals, for example, 730 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (65940).

2³⁹³⁴⁴¹ is an apocalyptic number.

It is an amenable number.

393441 is a deficient number, since it is larger than the sum of its proper divisors (134079).

393441 is a wasteful number, since it uses less digits than its factorization.

393441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735.

The product of its digits is 1296, while the sum is 24.

The square root of 393441 is about 627.2487544826. The cubic root of 393441 is about 73.2756824215.

The spelling of 393441 in words is "three hundred ninety-three thousand, four hundred forty-one".