214430292 has 72 divisors (see below), whose sum is σ = 563439240. Its totient is φ = 68678400.

The previous prime is 214430291. The next prime is 214430303. The reversal of 214430292 is 292034412.

It can be written as a sum of positive squares in 4 ways, for example, as 128051856 + 86378436 = 11316^2 + 9294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214430291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305542 + ... + 306242.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 2^214430292 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 214430292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281719620).

214430292 is an abundant number, since it is smaller than the sum of its proper divisors (349008948).

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

214430292 is a wasteful number, since it uses less digits than its factorization.

214430292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214430292 is about 14643.4385306184. The cubic root of 214430292 is about 598.5430316022.

The spelling of 214430292 in words is "two hundred fourteen million, four hundred thirty thousand, two hundred ninety-two".