200411904 has 144 divisors (see below), whose sum is σ = 665199360. Its totient is φ = 52039680.

The previous prime is 200411899. The next prime is 200411917. The reversal of 200411904 is 409114002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57442 + ... + 60830.

It is an arithmetic number, because the mean of its divisors is an integer number (4619440).

Almost surely, 2^200411904 is an apocalyptic number.

200411904 is a gapful number since it is divisible by the number (24) 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 200411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332599680).

200411904 is an abundant number, since it is smaller than the sum of its proper divisors (464787456).

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

200411904 is a wasteful number, since it uses less digits than its factorization.

200411904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 200411904 is about 14156.6911388220. The cubic root of 200411904 is about 585.2047438788.

Adding to 200411904 its reverse (409114002), we get a palindrome (609525906).

It can be divided in two parts, 20041 and 1904, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 200411904 in words is "two hundred million, four hundred eleven thousand, nine hundred four".