4446120 has 128 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 988416.

The previous prime is 4446119. The next prime is 4446131. The reversal of 4446120 is 216444.

4446120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 56241 + ... + 56319.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 2^4446120 is an apocalyptic number.

4446120 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 4446120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

4446120 is an abundant number, since it is smaller than the sum of its proper divisors (11221080).

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

4446120 is a wasteful number, since it uses less digits than its factorization.

4446120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4446120 is about 2108.5824622243. The cubic root of 4446120 is about 164.4347970695.

It can be divided in two parts, 44 and 46120, that added together give a palindrome (46164).

The spelling of 4446120 in words is "four million, four hundred forty-six thousand, one hundred twenty".