204225480000 has 420 divisors, whose sum is σ = 733505718660. Its totient is φ = 54309888000.

The previous prime is 204225479971. The next prime is 204225480007. The reversal of 204225480000 is 84522402.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 153902428416 + 50323051584 = 392304^2 + 224328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204225480007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 204839502 + ... + 204840498.

Almost surely, 2^204225480000 is an apocalyptic number.

204225480000 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 204225480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366752859330).

204225480000 is an abundant number, since it is smaller than the sum of its proper divisors (529280238660).

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

204225480000 is an equidigital number, since it uses as much as digits as its factorization.

204225480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 204225480000 in words is "two hundred four billion, two hundred twenty-five million, four hundred eighty thousand".