205700040 has 576 divisors, whose sum is σ = 901238400. Its totient is φ = 41513472.

The previous prime is 205700029. The next prime is 205700041. The reversal of 205700040 is 40007502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205699986 and 205700022.

It is not an unprimeable number, because it can be changed into a prime (205700041) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 8943469 + ... + 8943491.

It is an arithmetic number, because the mean of its divisors is an integer number (1564650).

Almost surely, 2^205700040 is an apocalyptic number.

205700040 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 205700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450619200).

205700040 is an abundant number, since it is smaller than the sum of its proper divisors (695538360).

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

205700040 is a wasteful number, since it uses less digits than its factorization.

205700040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 205700040 is about 14342.2466859276. The cubic root of 205700040 is about 590.3072611953.

Adding to 205700040 its reverse (40007502), we get a palindrome (245707542).

The spelling of 205700040 in words is "two hundred five million, seven hundred thousand, forty".