214311440 has 80 divisors (see below), whose sum is σ = 574844160. Its totient is φ = 72783360.

The previous prime is 214311397. The next prime is 214311457. The reversal of 214311440 is 44113412.

214311440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

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, 59285 + ... + 62795.

It is an arithmetic number, because the mean of its divisors is an integer number (7185552).

Almost surely, 2^214311440 is an apocalyptic number.

214311440 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 214311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287422080).

214311440 is an abundant number, since it is smaller than the sum of its proper divisors (360532720).

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

214311440 is a wasteful number, since it uses less digits than its factorization.

214311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 214311440 is about 14639.3797682825. The cubic root of 214311440 is about 598.4324266079.

Adding to 214311440 its reverse (44113412), we get a palindrome (258424852).

The spelling of 214311440 in words is "two hundred fourteen million, three hundred eleven thousand, four hundred forty".