206444040 has 128 divisors (see below), whose sum is σ = 699062400. Its totient is φ = 48312320.

The previous prime is 206444003. The next prime is 206444057. The reversal of 206444040 is 40444602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 206444040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35584 + ... + 40976.

It is an arithmetic number, because the mean of its divisors is an integer number (5461425).

Almost surely, 2^206444040 is an apocalyptic number.

206444040 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 206444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349531200).

206444040 is an abundant number, since it is smaller than the sum of its proper divisors (492618360).

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

206444040 is a wasteful number, since it uses less digits than its factorization.

206444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 206444040 is about 14368.1606338459. The cubic root of 206444040 is about 591.0181023483.

Adding to 206444040 its reverse (40444602), we get a palindrome (246888642).

The spelling of 206444040 in words is "two hundred six million, four hundred forty-four thousand, forty".