4381416 has 96 divisors (see below), whose sum is σ = 13278720. Its totient is φ = 1296000.

The previous prime is 4381411. The next prime is 4381423. The reversal of 4381416 is 6141834.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4381416.

It is not an unprimeable number, because it can be changed into a prime (4381411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28941 + ... + 29091.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 2^4381416 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 4381416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639360).

4381416 is an abundant number, since it is smaller than the sum of its proper divisors (8897304).

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

4381416 is a wasteful number, since it uses less digits than its factorization.

4381416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4381416 is about 2093.1832217940. The cubic root of 4381416 is about 163.6332275493.

The spelling of 4381416 in words is "four million, three hundred eighty-one thousand, four hundred sixteen".