205073020 has 48 divisors (see below), whose sum is σ = 442522080. Its totient is φ = 79785216.

The previous prime is 205072993. The next prime is 205073027. The reversal of 205073020 is 20370502.

It is a happy number.

205073020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205073027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334234 + ... + 334846.

It is an arithmetic number, because the mean of its divisors is an integer number (9219210).

Almost surely, 2^205073020 is an apocalyptic number.

205073020 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 205073020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221261040).

205073020 is an abundant number, since it is smaller than the sum of its proper divisors (237449060).

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

205073020 is a wasteful number, since it uses less digits than its factorization.

205073020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 205073020 is about 14320.3708052550. The cubic root of 205073020 is about 589.7068542768.

The spelling of 205073020 in words is "two hundred five million, seventy-three thousand, twenty".