214324440 has 128 divisors (see below), whose sum is σ = 742763520. Its totient is φ = 48896000.

The previous prime is 214324391. The next prime is 214324469. The reversal of 214324440 is 44423412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214324440.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17665 + ... + 27215.

It is an arithmetic number, because the mean of its divisors is an integer number (5802840).

Almost surely, 2^214324440 is an apocalyptic number.

214324440 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 214324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371381760).

214324440 is an abundant number, since it is smaller than the sum of its proper divisors (528439080).

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

214324440 is a wasteful number, since it uses less digits than its factorization.

214324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9593 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 214324440 is about 14639.8237694311. The cubic root of 214324440 is about 598.4445265441. Note that the first 3 decimals are identical.

Adding to 214324440 its reverse (44423412), we get a palindrome (258747852).

The spelling of 214324440 in words is "two hundred fourteen million, three hundred twenty-four thousand, four hundred forty".