214430304 has 96 divisors (see below), whose sum is σ = 617258880. Its totient is φ = 64640000.

The previous prime is 214430303. The next prime is 214430323. The reversal of 214430304 is 403034412.

214430304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214430303) 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, 264652 + ... + 265460.

It is an arithmetic number, because the mean of its divisors is an integer number (6429780).

Almost surely, 2^214430304 is an apocalyptic number.

214430304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308629440).

214430304 is an abundant number, since it is smaller than the sum of its proper divisors (402828576).

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

214430304 is a wasteful number, since it uses less digits than its factorization.

214430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 214430304 is about 14643.4389403582. The cubic root of 214430304 is about 598.5430427674.

Adding to 214430304 its reverse (403034412), we get a palindrome (617464716).

The spelling of 214430304 in words is "two hundred fourteen million, four hundred thirty thousand, three hundred four".