390401 has 4 divisors (see below), whose sum is σ = 425904. Its totient is φ = 354900.

The previous prime is 390391. The next prime is 390407. The reversal of 390401 is 104093.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 104093 = 11 ⋅9463.

It is a cyclic number.

It is not a de Polignac number, because 390401 - 2¹⁸ = 128257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 390401.

It is not an unprimeable number, because it can be changed into a prime (390407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17735 + ... + 17756.

It is an arithmetic number, because the mean of its divisors is an integer number (106476).

2³⁹⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

390401 is a deficient number, since it is larger than the sum of its proper divisors (35503).

390401 is a wasteful number, since it uses less digits than its factorization.

390401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35502.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 390401 is about 624.8207743025. The cubic root of 390401 is about 73.0864678775.

Adding to 390401 its reverse (104093), we get a palindrome (494494).

The spelling of 390401 in words is "three hundred ninety thousand, four hundred one".