382401 has 10 divisors (see below), whose sum is σ = 571362. Its totient is φ = 254880.

The previous prime is 382391. The next prime is 382427. The reversal of 382401 is 104283.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 50625 = 576^2 + 225^2 .

It is not a de Polignac number, because 382401 - 2¹⁰ = 381377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2280 + ... + 2441.

2³⁸²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

382401 is a deficient number, since it is larger than the sum of its proper divisors (188961).

382401 is an equidigital number, since it uses as much as digits as its factorization.

382401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4733 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 382401 is about 618.3858019069. The cubic root of 382401 is about 72.5837953041.

Adding to 382401 its reverse (104283), we get a palindrome (486684).

The spelling of 382401 in words is "three hundred eighty-two thousand, four hundred one".