206414852 has 36 divisors (see below), whose sum is σ = 424958940. Its totient is φ = 87462144.

The previous prime is 206414849. The next prime is 206414881. The reversal of 206414852 is 258414602.

It can be written as a sum of positive squares in 2 ways, for example, as 125126596 + 81288256 = 11186^2 + 9016^2 .

It is a super-2 number, since 2×206414852² = 85214182252363808, which contains 22 as substring.

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, 11528 + ... + 23360.

It is an arithmetic number, because the mean of its divisors is an integer number (11804415).

Almost surely, 2^206414852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206414852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212479470).

206414852 is an abundant number, since it is smaller than the sum of its proper divisors (218544088).

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

206414852 is a wasteful number, since it uses less digits than its factorization.

206414852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 206414852 is about 14367.1448798987. The cubic root of 206414852 is about 590.9902474239.

The spelling of 206414852 in words is "two hundred six million, four hundred fourteen thousand, eight hundred fifty-two".