206430240 has 96 divisors (see below), whose sum is σ = 671279616. Its totient is φ = 53268480.

The previous prime is 206430233. The next prime is 206430247. The reversal of 206430240 is 42034602.

It is an interprime number because it is at equal distance from previous prime (206430233) and next prime (206430247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×206430240² = 85226887972915200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206430247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7944 + ... + 21816.

It is an arithmetic number, because the mean of its divisors is an integer number (6992496).

Almost surely, 2^206430240 is an apocalyptic number.

206430240 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 206430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335639808).

206430240 is an abundant number, since it is smaller than the sum of its proper divisors (464849376).

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

206430240 is a wasteful number, since it uses less digits than its factorization.

206430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13922 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 206430240 is about 14367.6803973362. The cubic root of 206430240 is about 591.0049329497.

Adding to 206430240 its reverse (42034602), we get a palindrome (248464842).

The spelling of 206430240 in words is "two hundred six million, four hundred thirty thousand, two hundred forty".