214131444 has 48 divisors (see below), whose sum is σ = 528084480. Its totient is φ = 67344480.

The previous prime is 214131433. The next prime is 214131457. The reversal of 214131444 is 444131412.

214131444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 58179 + ... + 61749.

It is an arithmetic number, because the mean of its divisors is an integer number (11001760).

Almost surely, 2^214131444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214131444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264042240).

214131444 is an abundant number, since it is smaller than the sum of its proper divisors (313953036).

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

214131444 is a wasteful number, since it uses less digits than its factorization.

214131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3858 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 214131444 is about 14633.2308120934. The cubic root of 214131444 is about 598.2648424398.

Adding to 214131444 its reverse (444131412), we get a palindrome (658262856).

The spelling of 214131444 in words is "two hundred fourteen million, one hundred thirty-one thousand, four hundred forty-four".