206482000 has 80 divisors (see below), whose sum is σ = 528729552. Its totient is φ = 77721600.

The previous prime is 206481997. The next prime is 206482009. The reversal of 206482000 is 284602.

It can be written as a sum of positive squares in 8 ways, for example, as 9809424 + 196672576 = 3132^2 + 14024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206482009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30964 + ... + 37036.

Almost surely, 2^206482000 is an apocalyptic number.

206482000 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 206482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264364776).

206482000 is an abundant number, since it is smaller than the sum of its proper divisors (322247552).

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

206482000 is a wasteful number, since it uses less digits than its factorization.

206482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6113 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 206482000 is about 14369.4815494506. The cubic root of 206482000 is about 591.0543247103.

The spelling of 206482000 in words is "two hundred six million, four hundred eighty-two thousand".