205590420 has 192 divisors, whose sum is σ = 738178560. Its totient is φ = 46531584.

The previous prime is 205590403. The next prime is 205590421. The reversal of 205590420 is 24095502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205590421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 517662 + ... + 518058.

It is an arithmetic number, because the mean of its divisors is an integer number (3844680).

Almost surely, 2^205590420 is an apocalyptic number.

205590420 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 205590420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369089280).

205590420 is an abundant number, since it is smaller than the sum of its proper divisors (532588140).

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

205590420 is a wasteful number, since it uses less digits than its factorization.

205590420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 205590420 is about 14338.4245996553. The cubic root of 205590420 is about 590.2023819738.

The spelling of 205590420 in words is "two hundred five million, five hundred ninety thousand, four hundred twenty".