206442000 has 160 divisors (see below), whose sum is σ = 739714560. Its totient is φ = 55036800.

The previous prime is 206441993. The next prime is 206442017. The reversal of 206442000 is 244602.

206442000 is a `hidden beast` number, since 2 + 0 + 644 + 20 + 0 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 52089 + ... + 55911.

It is an arithmetic number, because the mean of its divisors is an integer number (4623216).

Almost surely, 2^206442000 is an apocalyptic number.

206442000 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 206442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369857280).

206442000 is an abundant number, since it is smaller than the sum of its proper divisors (533272560).

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

206442000 is a wasteful number, since it uses less digits than its factorization.

206442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 206442000 is about 14368.0896433729. The cubic root of 206442000 is about 591.0161556046.

Adding to 206442000 its reverse (244602), we get a palindrome (206686602).

The spelling of 206442000 in words is "two hundred six million, four hundred forty-two thousand".