4000200 has 96 divisors (see below), whose sum is σ = 12722400. Its totient is φ = 1039360.

The previous prime is 4000189. The next prime is 4000237. The reversal of 4000200 is 20004.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35344 + ... + 35456.

It is an arithmetic number, because the mean of its divisors is an integer number (132525).

Almost surely, 2^4000200 is an apocalyptic number.

4000200 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 4000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361200).

4000200 is an abundant number, since it is smaller than the sum of its proper divisors (8722200).

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

4000200 is a wasteful number, since it uses less digits than its factorization.

4000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 4000200 is about 2000.0499993750. The cubic root of 4000200 is about 158.7427508211.

Adding to 4000200 its reverse (20004), we get a palindrome (4020204).

The spelling of 4000200 in words is "four million, two hundred", and thus it is an aban number.