4418000208 has 120 divisors (see below), whose sum is σ = 12526771400. Its totient is φ = 1453427712.

The previous prime is 4418000201. The next prime is 4418000231. The reversal of 4418000208 is 8020008144.

It can be written as a sum of positive squares in 4 ways, for example, as 592825104 + 3825175104 = 24348^2 + 61848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4418000201) 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, 6230958 + ... + 6231666.

Almost surely, 2^4418000208 is an apocalyptic number.

4418000208 is a gapful number since it is divisible by the number (48) 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 4418000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263385700).

4418000208 is an abundant number, since it is smaller than the sum of its proper divisors (8108771192).

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

4418000208 is a wasteful number, since it uses less digits than its factorization.

4418000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1220 counting only the distinct ones).

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

The square root of 4418000208 is about 66468.0389961973. The cubic root of 4418000208 is about 1640.8740393521.

The spelling of 4418000208 in words is "four billion, four hundred eighteen million, two hundred eight", and thus it is an aban number.