214424320 has 144 divisors (see below), whose sum is σ = 569687328. Its totient is φ = 76677120.

The previous prime is 214424299. The next prime is 214424339. The reversal of 214424320 is 23424412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 214424291 and 214424300.

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 15 ways as a sum of consecutive naturals, for example, 1365682 + ... + 1365838.

It is an arithmetic number, because the mean of its divisors is an integer number (3956162).

Almost surely, 2^214424320 is an apocalyptic number.

214424320 is a gapful number since it is divisible by the number (20) 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 214424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284843664).

214424320 is an abundant number, since it is smaller than the sum of its proper divisors (355263008).

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

214424320 is a wasteful number, since it uses less digits than its factorization.

214424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 214424320 is about 14643.2346153437. The cubic root of 214424320 is about 598.5374749678.

Adding to 214424320 its reverse (23424412), we get a palindrome (237848732).

The spelling of 214424320 in words is "two hundred fourteen million, four hundred twenty-four thousand, three hundred twenty".