206288472 has 256 divisors, whose sum is σ = 653184000. Its totient is φ = 53526528.

The previous prime is 206288447. The next prime is 206288473. The reversal of 206288472 is 274882602.

206288472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 206288472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206288473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2317804 + ... + 2317892.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^206288472 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 206288472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

206288472 is an abundant number, since it is smaller than the sum of its proper divisors (446895528).

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

206288472 is a wasteful number, since it uses less digits than its factorization.

206288472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 206288472 is about 14362.7459770059. The cubic root of 206288472 is about 590.8696091476.

The spelling of 206288472 in words is "two hundred six million, two hundred eighty-eight thousand, four hundred seventy-two".