205484900 has 18 divisors (see below), whose sum is σ = 445902450. Its totient is φ = 82193920.

The previous prime is 205484821. The next prime is 205484941. The reversal of 205484900 is 9484502.

It can be written as a sum of positive squares in 3 ways, for example, as 65157184 + 140327716 = 8072^2 + 11846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1027325 + ... + 1027524.

Almost surely, 2^205484900 is an apocalyptic number.

205484900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205484900 is an abundant number, since it is smaller than the sum of its proper divisors (240417550).

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

205484900 is a wasteful number, since it uses less digits than its factorization.

205484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054863 (or 2054856 counting only the distinct ones).

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

The square root of 205484900 is about 14334.7445041759. The cubic root of 205484900 is about 590.1013902168.

The spelling of 205484900 in words is "two hundred five million, four hundred eighty-four thousand, nine hundred".