200400400 has 30 divisors (see below), whose sum is σ = 481462922. Its totient is φ = 80160000.

The previous prime is 200400397. The next prime is 200400401. The reversal of 200400400 is 4004002.

It can be written as a sum of positive squares in 3 ways, for example, as 3952144 + 196448256 = 1988^2 + 14016^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200400401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250101 + ... + 250900.

Almost surely, 2^200400400 is an apocalyptic number.

200400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200400400 is an abundant number, since it is smaller than the sum of its proper divisors (281062522).

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

200400400 is a wasteful number, since it uses less digits than its factorization.

200400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501019 (or 501008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 200400400 is about 14156.2848233567. The cubic root of 200400400 is about 585.1935463999.

Adding to 200400400 its reverse (4004002), we get a palindrome (204404402).

The spelling of 200400400 in words is "two hundred million, four hundred thousand, four hundred".