408221 has 16 divisors (see below), whose sum is σ = 492480. Its totient is φ = 334080.

The previous prime is 408217. The next prime is 408223. The reversal of 408221 is 122804.

It is a cyclic number.

It is not a de Polignac number, because 408221 - 2² = 408217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 408221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6890 + ... + 6948.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2⁴⁰⁸²²¹ is an apocalyptic number.

It is an amenable number.

408221 is a deficient number, since it is larger than the sum of its proper divisors (84259).

408221 is a wasteful number, since it uses less digits than its factorization.

408221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

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

The square root of 408221 is about 638.9217479473. The cubic root of 408221 is about 74.1819845201.

The spelling of 408221 in words is "four hundred eight thousand, two hundred twenty-one".