4218800 has 60 divisors (see below), whose sum is σ = 10378800. Its totient is φ = 1647360.

The previous prime is 4218793. The next prime is 4218803. The reversal of 4218800 is 88124.

It is not an unprimeable number, because it can be changed into a prime (4218803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21101 + ... + 21299.

It is an arithmetic number, because the mean of its divisors is an integer number (172980).

Almost surely, 2^4218800 is an apocalyptic number.

4218800 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 4218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189400).

4218800 is an abundant number, since it is smaller than the sum of its proper divisors (6160000).

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

4218800 is a wasteful number, since it uses less digits than its factorization.

4218800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 4218800 is about 2053.9717622207. The cubic root of 4218800 is about 161.5832401009.

The spelling of 4218800 in words is "four million, two hundred eighteen thousand, eight hundred".