206404000 has 96 divisors (see below), whose sum is σ = 553355712. Its totient is φ = 75040000.

The previous prime is 206403997. The next prime is 206404027. The reversal of 206404000 is 404602.

It is a super-2 number, since 2×206404000² = 85205222432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 41655 + ... + 46345.

It is an arithmetic number, because the mean of its divisors is an integer number (5764122).

Almost surely, 2^206404000 is an apocalyptic number.

206404000 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 206404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276677856).

206404000 is an abundant number, since it is smaller than the sum of its proper divisors (346951712).

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

206404000 is a wasteful number, since it uses less digits than its factorization.

206404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 206404000 is about 14366.7672076915. The cubic root of 206404000 is about 590.9798903872.

Adding to 206404000 its reverse (404602), we get a palindrome (206808602).

The spelling of 206404000 in words is "two hundred six million, four hundred four thousand".