206330400 has 108 divisors (see below), whose sum is σ = 727597962. Its totient is φ = 55019520.

The previous prime is 206330393. The next prime is 206330417. The reversal of 206330400 is 4033602.

It can be written as a sum of positive squares in 3 ways, for example, as 121616784 + 84713616 = 11028^2 + 9204^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7129 + ... + 21528.

Almost surely, 2^206330400 is an apocalyptic number.

206330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206330400 is an abundant number, since it is smaller than the sum of its proper divisors (521267562).

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

206330400 is a wasteful number, since it uses less digits than its factorization.

206330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28683 (or 28667 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 206330400 is about 14364.2055123143. The cubic root of 206330400 is about 590.9096377259.

The spelling of 206330400 in words is "two hundred six million, three hundred thirty thousand, four hundred".