214431424 has 56 divisors (see below), whose sum is σ = 434358288. Its totient is φ = 105016320.

The previous prime is 214431389. The next prime is 214431479. The reversal of 214431424 is 424134412.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1184614 + ... + 1184794.

It is an arithmetic number, because the mean of its divisors is an integer number (7756398).

Almost surely, 2^214431424 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 214431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217179144).

214431424 is an abundant number, since it is smaller than the sum of its proper divisors (219926864).

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

214431424 is a wasteful number, since it uses less digits than its factorization.

214431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 463 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 214431424 is about 14643.4771826913. The cubic root of 214431424 is about 598.5440848575.

Adding to 214431424 its reverse (424134412), we get a palindrome (638565836).

The spelling of 214431424 in words is "two hundred fourteen million, four hundred thirty-one thousand, four hundred twenty-four".