214408 has 8 divisors (see below), whose sum is σ = 402030. Its totient is φ = 107200.

The previous prime is 214399. The next prime is 214433. The reversal of 214408 is 804412.

It can be written as a sum of positive squares in only one way, i.e., 195364 + 19044 = 442^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 16.

It is an unprimeable number.

214408 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13393 + ... + 13408.

2²¹⁴⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

214408 is a deficient number, since it is larger than the sum of its proper divisors (187622).

214408 is a wasteful number, since it uses less digits than its factorization.

214408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26807 (or 26803 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 214408 is about 463.0421147153. The cubic root of 214408 is about 59.8522289533.

The spelling of 214408 in words is "two hundred fourteen thousand, four hundred eight".