214003408 has 40 divisors (see below), whose sum is σ = 441900288. Its totient is φ = 100163712.

The previous prime is 214003399. The next prime is 214003457. The reversal of 214003408 is 804300412.

It is a super-2 number, since 2×214003408² = 91594917271228928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11110 + ... + 23482.

Almost surely, 2^214003408 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 214003408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220950144).

214003408 is an abundant number, since it is smaller than the sum of its proper divisors (227896880).

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

214003408 is a wasteful number, since it uses less digits than its factorization.

214003408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12451 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 214003408 is about 14628.8553209060. The cubic root of 214003408 is about 598.1455781411.

The spelling of 214003408 in words is "two hundred fourteen million, three thousand, four hundred eight".