206356440 has 64 divisors (see below), whose sum is σ = 623842560. Its totient is φ = 54604160.

The previous prime is 206356439. The next prime is 206356457. The reversal of 206356440 is 44653602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206356398 and 206356407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9157 + ... + 22283.

It is an arithmetic number, because the mean of its divisors is an integer number (9747540).

Almost surely, 2^206356440 is an apocalyptic number.

206356440 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 206356440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311921280).

206356440 is an abundant number, since it is smaller than the sum of its proper divisors (417486120).

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

206356440 is a wasteful number, since it uses less digits than its factorization.

206356440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 206356440 is about 14365.1119034973. Note that the first 3 decimals coincide. The cubic root of 206356440 is about 590.9344953324.

The spelling of 206356440 in words is "two hundred six million, three hundred fifty-six thousand, four hundred forty".