206312400 has 240 divisors, whose sum is σ = 839529600. Its totient is φ = 47139840.

The previous prime is 206312383. The next prime is 206312417. The reversal of 206312400 is 4213602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (206312383) and next prime (206312417).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74236 + ... + 76964.

It is an arithmetic number, because the mean of its divisors is an integer number (3498040).

Almost surely, 2^206312400 is an apocalyptic number.

206312400 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 206312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419764800).

206312400 is an abundant number, since it is smaller than the sum of its proper divisors (633217200).

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

206312400 is a wasteful number, since it uses less digits than its factorization.

206312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 206312400 is about 14363.5789411971. The cubic root of 206312400 is about 590.8924538260.

The spelling of 206312400 in words is "two hundred six million, three hundred twelve thousand, four hundred".