214455408 has 80 divisors (see below), whose sum is σ = 589381920. Its totient is φ = 66961408.

The previous prime is 214455403. The next prime is 214455433. The reversal of 214455408 is 804554412.

It is a happy number.

It is a super-2 number, since 2×214455408² = 91982244040892928, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214455401) 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, 219016 + ... + 219992.

It is an arithmetic number, because the mean of its divisors is an integer number (7367274).

Almost surely, 2^214455408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214455408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294690960).

214455408 is an abundant number, since it is smaller than the sum of its proper divisors (374926512).

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

214455408 is a wasteful number, since it uses less digits than its factorization.

214455408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 214455408 is about 14644.2960909700. The cubic root of 214455408 is about 598.5663996001.

The spelling of 214455408 in words is "two hundred fourteen million, four hundred fifty-five thousand, four hundred eight".