408001 has 8 divisors (see below), whose sum is σ = 460800. Its totient is φ = 357840.

The previous prime is 407993. The next prime is 408011. The reversal of 408001 is 100804.

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 408001 - 2³ = 407993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408011) 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, 321 + ... + 958.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

2⁴⁰⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

408001 is a deficient number, since it is larger than the sum of its proper divisors (52799).

408001 is a wasteful number, since it uses less digits than its factorization.

408001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 408001 is about 638.7495596867. The cubic root of 408001 is about 74.1686559805.

Adding to 408001 its reverse (100804), we get a palindrome (508805).

The spelling of 408001 in words is "four hundred eight thousand, one".