408801 has 8 divisors (see below), whose sum is σ = 557920. Its totient is φ = 266112.

The previous prime is 408787. The next prime is 408803. The reversal of 408801 is 108804.

408801 is nontrivially palindromic in base 8.

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

It is not a de Polignac number, because 408801 - 2⁵ = 408769 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (408803) 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, 1456 + ... + 1713.

It is an arithmetic number, because the mean of its divisors is an integer number (69740).

2⁴⁰⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

408801 is a deficient number, since it is larger than the sum of its proper divisors (149119).

408801 is a wasteful number, since it uses less digits than its factorization.

408801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 408801 is about 639.3754765394. The cubic root of 408801 is about 74.2171004583.

The spelling of 408801 in words is "four hundred eight thousand, eight hundred one".