4418820 has 144 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1003968.

The previous prime is 4418819. The next prime is 4418831. The reversal of 4418820 is 288144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26377 + ... + 26543.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 2^4418820 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 4418820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

4418820 is an abundant number, since it is smaller than the sum of its proper divisors (11668860).

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

4418820 is a wasteful number, since it uses less digits than its factorization.

4418820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4418820 is about 2102.0989510487. The cubic root of 4418820 is about 164.0975525104.

It can be divided in two parts, 441 and 8820, that added together give a cube (9261 = 21³).

The spelling of 4418820 in words is "four million, four hundred eighteen thousand, eight hundred twenty".