206445460 has 72 divisors (see below), whose sum is σ = 476544600. Its totient is φ = 74677248.

The previous prime is 206445443. The next prime is 206445487. The reversal of 206445460 is 64544602.

It can be written as a sum of positive squares in 12 ways, for example, as 108118404 + 98327056 = 10398^2 + 9916^2 .

It is a super-2 number, since 2×206445460² = 85239455909223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1385466 + ... + 1385614.

It is an arithmetic number, because the mean of its divisors is an integer number (6618675).

Almost surely, 2^206445460 is an apocalyptic number.

206445460 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 206445460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238272300).

206445460 is an abundant number, since it is smaller than the sum of its proper divisors (270099140).

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

206445460 is a wasteful number, since it uses less digits than its factorization.

206445460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 206445460 is about 14368.2100485760. The cubic root of 206445460 is about 591.0194574271.

It can be divided in two parts, 2064 and 45460, that added together give a square (47524 = 218²).

The spelling of 206445460 in words is "two hundred six million, four hundred forty-five thousand, four hundred sixty".