205351040 has 32 divisors (see below), whose sum is σ = 490918860. Its totient is φ = 82140160.

The previous prime is 205351033. The next prime is 205351051. The reversal of 205351040 is 40153502.

It can be written as a sum of positive squares in 2 ways, for example, as 166513216 + 38837824 = 12904^2 + 6232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 159791 + ... + 161070.

Almost surely, 2^205351040 is an apocalyptic number.

205351040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205351040 is an abundant number, since it is smaller than the sum of its proper divisors (285567820).

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

205351040 is an equidigital number, since it uses as much as digits as its factorization.

205351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320880 (or 320868 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205351040 is about 14330.0746683330. The cubic root of 205351040 is about 589.9732248694.

The spelling of 205351040 in words is "two hundred five million, three hundred fifty-one thousand, forty".