206464900 has 18 divisors (see below), whose sum is σ = 448029050. Its totient is φ = 82585920.

The previous prime is 206464897. The next prime is 206464913. The reversal of 206464900 is 9464602.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 206381956 = 288^2 + 14366^2 .

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 5 ways as a sum of consecutive naturals, for example, 1032225 + ... + 1032424.

Almost surely, 2^206464900 is an apocalyptic number.

206464900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206464900 is an abundant number, since it is smaller than the sum of its proper divisors (241564150).

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

206464900 is a wasteful number, since it uses less digits than its factorization.

206464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064663 (or 2064656 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 206464900 is about 14368.8865261022. The cubic root of 206464900 is about 591.0380080209.

The spelling of 206464900 in words is "two hundred six million, four hundred sixty-four thousand, nine hundred".