214016440 has 64 divisors (see below), whose sum is σ = 526901760. Its totient is φ = 77589120.

The previous prime is 214016419. The next prime is 214016443. The reversal of 214016440 is 44610412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214016443) 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, 220837 + ... + 221803.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2^214016440 is an apocalyptic number.

214016440 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 214016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

214016440 is an abundant number, since it is smaller than the sum of its proper divisors (312885320).

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

214016440 is a wasteful number, since it uses less digits than its factorization.

214016440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 214016440 is about 14629.3007351684. The cubic root of 214016440 is about 598.1577194975.

Adding to 214016440 its reverse (44610412), we get a palindrome (258626852).

The spelling of 214016440 in words is "two hundred fourteen million, sixteen thousand, four hundred forty".