214402440 has 128 divisors (see below), whose sum is σ = 750240000. Its totient is φ = 48996864.

The previous prime is 214402393. The next prime is 214402451. The reversal of 214402440 is 44204412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38556 + ... + 43764.

It is an arithmetic number, because the mean of its divisors is an integer number (5861250).

Almost surely, 2^214402440 is an apocalyptic number.

214402440 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 214402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375120000).

214402440 is an abundant number, since it is smaller than the sum of its proper divisors (535837560).

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

214402440 is a wasteful number, since it uses less digits than its factorization.

214402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 214402440 is about 14642.4874935921. The cubic root of 214402440 is about 598.5171158882.

Adding to 214402440 its reverse (44204412), we get a palindrome (258606852).

The spelling of 214402440 in words is "two hundred fourteen million, four hundred two thousand, four hundred forty".