206264440 has 64 divisors (see below), whose sum is σ = 478820160. Its totient is φ = 79918080.

The previous prime is 206264423. The next prime is 206264447. The reversal of 206264440 is 44462602.

It is a junction number, because it is equal to n+sod(n) for n = 206264399 and 206264408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206264447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 283357 + ... + 284083.

It is an arithmetic number, because the mean of its divisors is an integer number (7481565).

Almost surely, 2^206264440 is an apocalyptic number.

206264440 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 206264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239410080).

206264440 is an abundant number, since it is smaller than the sum of its proper divisors (272555720).

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

206264440 is a wasteful number, since it uses less digits than its factorization.

206264440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 206264440 is about 14361.9093438164. The cubic root of 206264440 is about 590.8466633996.

The spelling of 206264440 in words is "two hundred six million, two hundred sixty-four thousand, four hundred forty".