214003416 has 128 divisors (see below), whose sum is σ = 611942400. Its totient is φ = 61776000.

The previous prime is 214003399. The next prime is 214003457. The reversal of 214003416 is 614300412.

214003416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214003392 and 214003401.

It is a congruent number.

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, 646371 + ... + 646701.

It is an arithmetic number, because the mean of its divisors is an integer number (4780800).

Almost surely, 2^214003416 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 214003416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305971200).

214003416 is an abundant number, since it is smaller than the sum of its proper divisors (397938984).

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

214003416 is a wasteful number, since it uses less digits than its factorization.

214003416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 214003416 is about 14628.8555943382. The cubic root of 214003416 is about 598.1455855945.

Adding to 214003416 its reverse (614300412), we get a palindrome (828303828).

The spelling of 214003416 in words is "two hundred fourteen million, three thousand, four hundred sixteen".