206478000 has 120 divisors (see below), whose sum is σ = 721221696. Its totient is φ = 55056000.

The previous prime is 206477989. The next prime is 206478001. The reversal of 206478000 is 874602.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (206478001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12265 + ... + 23735.

Almost surely, 2^206478000 is an apocalyptic number.

206478000 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 206478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360610848).

206478000 is an abundant number, since it is smaller than the sum of its proper divisors (514743696).

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

206478000 is a wasteful number, since it uses less digits than its factorization.

206478000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 206478000 is about 14369.3423649101. The cubic root of 206478000 is about 591.0505080216.

The spelling of 206478000 in words is "two hundred six million, four hundred seventy-eight thousand".