214203440 has 80 divisors (see below), whose sum is σ = 554964480. Its totient is φ = 76220160.

The previous prime is 214203433. The next prime is 214203449. The reversal of 214203440 is 44302412.

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

It is a super-2 number, since 2×214203440² = 91766227415667200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214203449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38771 + ... + 43949.

It is an arithmetic number, because the mean of its divisors is an integer number (6937056).

Almost surely, 2^214203440 is an apocalyptic number.

214203440 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 214203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277482240).

214203440 is an abundant number, since it is smaller than the sum of its proper divisors (340761040).

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

214203440 is a wasteful number, since it uses less digits than its factorization.

214203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214203440 is about 14635.6906225842. The cubic root of 214203440 is about 598.3318851377.

Adding to 214203440 its reverse (44302412), we get a palindrome (258505852).

The spelling of 214203440 in words is "two hundred fourteen million, two hundred three thousand, four hundred forty".