204961800 has 48 divisors (see below), whose sum is σ = 635383440. Its totient is φ = 54656320.

The previous prime is 204961733. The next prime is 204961837. The reversal of 204961800 is 8169402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170202 + ... + 171401.

It is an arithmetic number, because the mean of its divisors is an integer number (13237155).

Almost surely, 2^204961800 is an apocalyptic number.

204961800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204961800 is an abundant number, since it is smaller than the sum of its proper divisors (430421640).

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

204961800 is a wasteful number, since it uses less digits than its factorization.

204961800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341622 (or 341613 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 204961800 is about 14316.4869992607. The cubic root of 204961800 is about 589.6002271238.

It can be divided in two parts, 204961 and 800, that added together give a triangular number (205761 = T₆₄₁).

The spelling of 204961800 in words is "two hundred four million, nine hundred sixty-one thousand, eight hundred".