214333440 has 96 divisors (see below), whose sum is σ = 685797840. Its totient is φ = 57147392.

The previous prime is 214333429. The next prime is 214333447. The reversal of 214333440 is 44333412.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 214333440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214333447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27232 + ... + 34208.

Almost surely, 2^214333440 is an apocalyptic number.

214333440 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 214333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342898920).

214333440 is an abundant number, since it is smaller than the sum of its proper divisors (471464400).

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

214333440 is an equidigital number, since it uses as much as digits as its factorization.

214333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 214333440 is about 14640.1311469536. The cubic root of 214333440 is about 598.4529031364.

Adding to 214333440 its reverse (44333412), we get a palindrome (258666852).

The spelling of 214333440 in words is "two hundred fourteen million, three hundred thirty-three thousand, four hundred forty".