408401 has 8 divisors (see below), whose sum is σ = 478464. Its totient is φ = 341280.

The previous prime is 408389. The next prime is 408403. The reversal of 408401 is 104804.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 408401 - 2⁶ = 408337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 408401.

It is not an unprimeable number, because it can be changed into a prime (408403) 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, 425 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (59808).

2⁴⁰⁸⁴⁰¹ is an apocalyptic number.

408401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

408401 is a deficient number, since it is larger than the sum of its proper divisors (70063).

408401 is a wasteful number, since it uses less digits than its factorization.

408401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 408401 is about 639.0625947433. The cubic root of 408401 is about 74.1928861274.

The spelling of 408401 in words is "four hundred eight thousand, four hundred one".