206351406 has 48 divisors (see below), whose sum is σ = 474625008. Its totient is φ = 64569600.

The previous prime is 206351371. The next prime is 206351429. The reversal of 206351406 is 604153602.

206351406 is a `hidden beast` number, since 20 + 635 + 1 + 4 + 0 + 6 = 666.

206351406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 206351406.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 174136 + ... + 175316.

It is an arithmetic number, because the mean of its divisors is an integer number (9888021).

Almost surely, 2^206351406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206351406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237312504).

206351406 is an abundant number, since it is smaller than the sum of its proper divisors (268273602).

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

206351406 is a wasteful number, since it uses less digits than its factorization.

206351406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 206351406 is about 14364.9366862510. The cubic root of 206351406 is about 590.9296900734.

The spelling of 206351406 in words is "two hundred six million, three hundred fifty-one thousand, four hundred six".