206430252 has 96 divisors (see below), whose sum is σ = 598768128. Its totient is φ = 53996544.

The previous prime is 206430247. The next prime is 206430253. The reversal of 206430252 is 252034602.

206430252 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×206430252² = 85226897881567008, which contains 22 as substring.

206430252 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (206430253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50883 + ... + 54789.

It is an arithmetic number, because the mean of its divisors is an integer number (6237168).

Almost surely, 2^206430252 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 206430252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299384064).

206430252 is an abundant number, since it is smaller than the sum of its proper divisors (392337876).

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

206430252 is a wasteful number, since it uses less digits than its factorization.

206430252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 206430252 is about 14367.6808149402. The cubic root of 206430252 is about 591.0049444016.

Adding to 206430252 its reverse (252034602), we get a palindrome (458464854).

The spelling of 206430252 in words is "two hundred six million, four hundred thirty thousand, two hundred fifty-two".