205294820 has 24 divisors (see below), whose sum is σ = 431507328. Its totient is φ = 82044000.

The previous prime is 205294819. The next prime is 205294823. The reversal of 205294820 is 28492502.

It is not an unprimeable number, because it can be changed into a prime (205294823) 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 7 ways as a sum of consecutive naturals, for example, 21845 + ... + 29795.

It is an arithmetic number, because the mean of its divisors is an integer number (17979472).

Almost surely, 2^205294820 is an apocalyptic number.

205294820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205294820 is an abundant number, since it is smaller than the sum of its proper divisors (226212508).

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

205294820 is a wasteful number, since it uses less digits than its factorization.

205294820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 205294820 is about 14328.1129252948. The cubic root of 205294820 is about 589.9193799639.

The spelling of 205294820 in words is "two hundred five million, two hundred ninety-four thousand, eight hundred twenty".