205322040 has 320 divisors, whose sum is σ = 861442560. Its totient is φ = 42612480.

The previous prime is 205322023. The next prime is 205322041. The reversal of 205322040 is 40223502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205322041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249069 + ... + 249891.

It is an arithmetic number, because the mean of its divisors is an integer number (2692008).

Almost surely, 2^205322040 is an apocalyptic number.

205322040 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 205322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430721280).

205322040 is an abundant number, since it is smaller than the sum of its proper divisors (656120520).

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

205322040 is a wasteful number, since it uses less digits than its factorization.

205322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 205322040 is about 14329.0627746549. The cubic root of 205322040 is about 589.9454512433.

Adding to 205322040 its reverse (40223502), we get a palindrome (245545542).

The spelling of 205322040 in words is "two hundred five million, three hundred twenty-two thousand, forty".