206450000 has 60 divisors (see below), whose sum is σ = 500085180. Its totient is φ = 82560000.

The previous prime is 206449993. The next prime is 206450011. The reversal of 206450000 is 54602.

It can be written as a sum of positive squares in 6 ways, for example, as 166203664 + 40246336 = 12892^2 + 6344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47936 + ... + 52064.

It is an arithmetic number, because the mean of its divisors is an integer number (8334753).

Almost surely, 2^206450000 is an apocalyptic number.

206450000 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 206450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250042590).

206450000 is an abundant number, since it is smaller than the sum of its proper divisors (293635180).

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

206450000 is an frugal number, since it uses more digits than its factorization.

206450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 206450000 is about 14368.3680353755. The cubic root of 206450000 is about 591.0237898202.

The spelling of 206450000 in words is "two hundred six million, four hundred fifty thousand".