204968000 has 56 divisors (see below), whose sum is σ = 507623064. Its totient is φ = 81984000.

The previous prime is 204967999. The next prime is 204968033. The reversal of 204968000 is 869402.

It can be written as a sum of positive squares in 4 ways, for example, as 29246464 + 175721536 = 5408^2 + 13256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4811 + ... + 20810.

Almost surely, 2^204968000 is an apocalyptic number.

204968000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204968000 is an abundant number, since it is smaller than the sum of its proper divisors (302655064).

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

204968000 is an equidigital number, since it uses as much as digits as its factorization.

204968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25648 (or 25628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 204968000 is about 14316.7035311904. The cubic root of 204968000 is about 589.6061721089.

The spelling of 204968000 in words is "two hundred four million, nine hundred sixty-eight thousand".