4559120 has 20 divisors (see below), whose sum is σ = 10600140. Its totient is φ = 1823616.

The previous prime is 4559101. The next prime is 4559147. The reversal of 4559120 is 219554.

It can be written as a sum of positive squares in 2 ways, for example, as 2930944 + 1628176 = 1712^2 + 1276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 4559120.

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 3 ways as a sum of consecutive naturals, for example, 28415 + ... + 28574.

It is an arithmetic number, because the mean of its divisors is an integer number (530007).

Almost surely, 2^4559120 is an apocalyptic number.

4559120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4559120 is an abundant number, since it is smaller than the sum of its proper divisors (6041020).

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

4559120 is a wasteful number, since it uses less digits than its factorization.

4559120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57002 (or 56996 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 4559120 is about 2135.2095915858. The cubic root of 4559120 is about 165.8162189241.

The spelling of 4559120 in words is "four million, five hundred fifty-nine thousand, one hundred twenty".