400200200 has 48 divisors (see below), whose sum is σ = 933907860. Its totient is φ = 159488000.

The previous prime is 400200197. The next prime is 400200239. The reversal of 400200200 is 2002004.

It can be written as a sum of positive squares in 6 ways, for example, as 65383396 + 334816804 = 8086^2 + 18298^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

400200200 is a modest number, since divided by 200200 gives 400 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52640 + ... + 59760.

Almost surely, 2^400200200 is an apocalyptic number.

400200200 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 400200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466953930).

400200200 is an abundant number, since it is smaller than the sum of its proper divisors (533707660).

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

400200200 is a wasteful number, since it uses less digits than its factorization.

400200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 400200200 is about 20005.0043739060. The cubic root of 400200200 is about 736.9292030770.

Adding to 400200200 its reverse (2002004), we get a palindrome (402202204).

The spelling of 400200200 in words is "four hundred million, two hundred thousand, two hundred".