408213 has 16 divisors (see below), whose sum is σ = 651840. Its totient is φ = 250992.

The previous prime is 408211. The next prime is 408217. The reversal of 408213 is 312804.

It is a happy number.

It is not a de Polignac number, because 408213 - 2¹ = 408211 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (40740).

2⁴⁰⁸²¹³ is an apocalyptic number.

It is an amenable number.

408213 is a deficient number, since it is larger than the sum of its proper divisors (243627).

408213 is a wasteful number, since it uses less digits than its factorization.

408213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 408213 is about 638.9154873690. The cubic root of 408213 is about 74.1814999298.

It can be divided in two parts, 4082 and 13, that added together give a triangular number (4095 = T₉₀).

The spelling of 408213 in words is "four hundred eight thousand, two hundred thirteen".