200404400 has 120 divisors (see below), whose sum is σ = 579367680. Its totient is φ = 65076480.

The previous prime is 200404397. The next prime is 200404403. The reversal of 200404400 is 4404002.

It is an interprime number because it is at equal distance from previous prime (200404397) and next prime (200404403).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (200404403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51317 + ... + 55083.

It is an arithmetic number, because the mean of its divisors is an integer number (4828064).

Almost surely, 2^200404400 is an apocalyptic number.

200404400 is a gapful number since it is divisible by the number (20) 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 200404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289683840).

200404400 is an abundant number, since it is smaller than the sum of its proper divisors (378963280).

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

200404400 is a wasteful number, since it uses less digits than its factorization.

200404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 200404400 is about 14156.4261026574. The cubic root of 200404400 is about 585.1974398695.

Adding to 200404400 its reverse (4404002), we get a palindrome (204808402).

The spelling of 200404400 in words is "two hundred million, four hundred four thousand, four hundred".