206440416 has 144 divisors (see below), whose sum is σ = 722633184. Its totient is φ = 54438912.

The previous prime is 206440373. The next prime is 206440417. The reversal of 206440416 is 614044602.

206440416 is a `hidden beast` number, since 2 + 0 + 644 + 0 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 206440416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206440417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22270 + ... + 30146.

It is an arithmetic number, because the mean of its divisors is an integer number (5018286).

Almost surely, 2^206440416 is an apocalyptic number.

206440416 is a gapful number since it is divisible by the number (26) 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 206440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361316592).

206440416 is an abundant number, since it is smaller than the sum of its proper divisors (516192768).

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

206440416 is a wasteful number, since it uses less digits than its factorization.

206440416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 206440416 is about 14368.0345211167. The cubic root of 206440416 is about 591.0146440066.

The spelling of 206440416 in words is "two hundred six million, four hundred forty thousand, four hundred sixteen".