4000216 has 32 divisors (see below), whose sum is σ = 8268480. Its totient is φ = 1799200.

The previous prime is 4000189. The next prime is 4000237. The reversal of 4000216 is 6120004.

4000216 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 = 4000196 and 4000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11355 + ... + 11701.

It is an arithmetic number, because the mean of its divisors is an integer number (258390).

Almost surely, 2^4000216 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 4000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134240).

4000216 is an abundant number, since it is smaller than the sum of its proper divisors (4268264).

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

4000216 is a wasteful number, since it uses less digits than its factorization.

4000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4000216 is about 2000.0539992710. The cubic root of 4000216 is about 158.7429624673.

The spelling of 4000216 in words is "four million, two hundred sixteen", and thus it is an aban number.