212408 has 16 divisors (see below), whose sum is σ = 455280. Its totient is φ = 91008.

The previous prime is 212383. The next prime is 212411. The reversal of 212408 is 804212.

212408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

212408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1841 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (28455).

2²¹²⁴⁰⁸ is an apocalyptic number.

212408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212408 is an abundant number, since it is smaller than the sum of its proper divisors (242872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212408 is a wasteful number, since it uses less digits than its factorization.

212408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3802 counting only the distinct ones).

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

The square root of 212408 is about 460.8774240511. The cubic root of 212408 is about 59.6655465530.

The spelling of 212408 in words is "two hundred twelve thousand, four hundred eight".