4381920 has 144 divisors (see below), whose sum is σ = 15921360. Its totient is φ = 1093632.

The previous prime is 4381879. The next prime is 4381921. The reversal of 4381920 is 291834.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24391 + ... + 24569.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 2^4381920 is an apocalyptic number.

4381920 is a gapful number since it is divisible by the number (40) 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 4381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960680).

4381920 is an abundant number, since it is smaller than the sum of its proper divisors (11539440).

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

4381920 is a wasteful number, since it uses less digits than its factorization.

4381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4381920 is about 2093.3036091308. The cubic root of 4381920 is about 163.6395016233.

It can be divided in two parts, 4 and 381920, that added together give a square (381924 = 618²).

The spelling of 4381920 in words is "four million, three hundred eighty-one thousand, nine hundred twenty".