206824848400 has 45 divisors (see below), whose sum is σ = 496918551421. Its totient is φ = 82726301120.

The previous prime is 206824848341. The next prime is 206824848413. The reversal of 206824848400 is 4848428602.

The square root of 206824848400 is 454780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74456945424 + 132367902976 = 272868^2 + 363824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9084231 + ... + 9106969.

Almost surely, 2^206824848400 is an apocalyptic number.

206824848400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206824848400 is the 454780-th square number.

It is an amenable number.

206824848400 is an abundant number, since it is smaller than the sum of its proper divisors (290093703021).

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

206824848400 is an frugal number, since it uses more digits than its factorization.

206824848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45496 (or 22746 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 46.

The spelling of 206824848400 in words is "two hundred six billion, eight hundred twenty-four million, eight hundred forty-eight thousand, four hundred".