4411920 has 80 divisors (see below), whose sum is σ = 14141952. Its totient is φ = 1136640.

The previous prime is 4411877. The next prime is 4411963. The reversal of 4411920 is 291144.

It is an interprime number because it is at equal distance from previous prime (4411877) and next prime (4411963).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7144 + ... + 7736.

Almost surely, 2^4411920 is an apocalyptic number.

4411920 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 4411920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976).

4411920 is an abundant number, since it is smaller than the sum of its proper divisors (9730032).

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

4411920 is a wasteful number, since it uses less digits than its factorization.

4411920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4411920 is about 2100.4570931109. The cubic root of 4411920 is about 164.0120950826.

The spelling of 4411920 in words is "four million, four hundred eleven thousand, nine hundred twenty".