214323440 has 80 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 83435520.

The previous prime is 214323433. The next prime is 214323451. The reversal of 214323440 is 44323412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550766 + ... + 551154.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2^214323440 is an apocalyptic number.

214323440 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 214323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

214323440 is an abundant number, since it is smaller than the sum of its proper divisors (297518800).

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

214323440 is a wasteful number, since it uses less digits than its factorization.

214323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 214323440 is about 14639.7896159747. The cubic root of 214323440 is about 598.4435957972.

Adding to 214323440 its reverse (44323412), we get a palindrome (258646852).

The spelling of 214323440 in words is "two hundred fourteen million, three hundred twenty-three thousand, four hundred forty".