4201800 has 96 divisors (see below), whose sum is σ = 13392000. Its totient is φ = 1089280.

The previous prime is 4201789. The next prime is 4201811. The reversal of 4201800 is 81024.

It is an interprime number because it is at equal distance from previous prime (4201789) and next prime (4201811).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4201800.

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 23 ways as a sum of consecutive naturals, for example, 28126 + ... + 28274.

It is an arithmetic number, because the mean of its divisors is an integer number (139500).

Almost surely, 2^4201800 is an apocalyptic number.

4201800 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 4201800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696000).

4201800 is an abundant number, since it is smaller than the sum of its proper divisors (9190200).

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

4201800 is a wasteful number, since it uses less digits than its factorization.

4201800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4201800 is about 2049.8292611825. The cubic root of 4201800 is about 161.3659102912.

Adding to 4201800 its reverse (81024), we get a palindrome (4282824).

The spelling of 4201800 in words is "four million, two hundred one thousand, eight hundred".