205045080 has 64 divisors (see below), whose sum is σ = 636357600. Its totient is φ = 52792320.

The previous prime is 205045079. The next prime is 205045081. The reversal of 205045080 is 80540502.

205045080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205045079) and next prime (205045081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205045080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205045081) 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, 25981 + ... + 32940.

Almost surely, 2^205045080 is an apocalyptic number.

205045080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205045080 is an abundant number, since it is smaller than the sum of its proper divisors (431312520).

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

205045080 is a wasteful number, since it uses less digits than its factorization.

205045080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58964 (or 58960 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 205045080 is about 14319.3952386265. The cubic root of 205045080 is about 589.6800716901.

Adding to 205045080 its reverse (80540502), we get a palindrome (285585582).

The spelling of 205045080 in words is "two hundred five million, forty-five thousand, eighty".