4218500 has 96 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 1392000.

The previous prime is 4218497. The next prime is 4218509. The reversal of 4218500 is 58124.

Added to its reverse (58124) it gives a square (4276624 = 2068²).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4218509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71471 + ... + 71529.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 2^4218500 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 4218500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

4218500 is an abundant number, since it is smaller than the sum of its proper divisors (6788860).

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

4218500 is a wasteful number, since it uses less digits than its factorization.

4218500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4218500 is about 2053.8987316808. The cubic root of 4218500 is about 161.5794099342.

4218500 divided by its sum of digits (20) gives a triangular number (210925 = T₆₄₉).

Adding to 4218500 its reverse (58124), we get a square (4276624 = 2068²).

The spelling of 4218500 in words is "four million, two hundred eighteen thousand, five hundred".