206804400 has 120 divisors (see below), whose sum is σ = 722733504. Its totient is φ = 50131200.

The previous prime is 206804399. The next prime is 206804407. The reversal of 206804400 is 4408602.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (206804407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5367 + ... + 21033.

Almost surely, 2^206804400 is an apocalyptic number.

206804400 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 206804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361366752).

206804400 is an abundant number, since it is smaller than the sum of its proper divisors (515929104).

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

206804400 is a wasteful number, since it uses less digits than its factorization.

206804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15699 (or 15688 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 206804400 is about 14380.6953934780. The cubic root of 206804400 is about 591.3617878669.

The spelling of 206804400 in words is "two hundred six million, eight hundred four thousand, four hundred".