214042304 has 112 divisors (see below), whose sum is σ = 510698496. Its totient is φ = 87091200.

The previous prime is 214042303. The next prime is 214042307. The reversal of 214042304 is 403240412.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (214042303) 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, 789689 + ... + 789959.

It is an arithmetic number, because the mean of its divisors is an integer number (4559808).

Almost surely, 2^214042304 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 214042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255349248).

214042304 is an abundant number, since it is smaller than the sum of its proper divisors (296656192).

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

214042304 is a wasteful number, since it uses less digits than its factorization.

214042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214042304 is about 14630.1846878295. The cubic root of 214042304 is about 598.1818144192.

Adding to 214042304 its reverse (403240412), we get a palindrome (617282716).

It can be divided in two parts, 2140 and 42304, that added together give a palindrome (44444).

The spelling of 214042304 in words is "two hundred fourteen million, forty-two thousand, three hundred four".