206202440 has 64 divisors (see below), whose sum is σ = 491400000. Its totient is φ = 77656320.

The previous prime is 206202439. The next prime is 206202457. The reversal of 206202440 is 44202602.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136811 + ... + 138309.

It is an arithmetic number, because the mean of its divisors is an integer number (7678125).

Almost surely, 2^206202440 is an apocalyptic number.

206202440 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 206202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245700000).

206202440 is an abundant number, since it is smaller than the sum of its proper divisors (285197560).

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

206202440 is a wasteful number, since it uses less digits than its factorization.

206202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 206202440 is about 14359.7506942147. The cubic root of 206202440 is about 590.7874575825.

The spelling of 206202440 in words is "two hundred six million, two hundred two thousand, four hundred forty".