204256080 has 480 divisors, whose sum is σ = 866611200. Its totient is φ = 43670016.

The previous prime is 204256069. The next prime is 204256093. The reversal of 204256080 is 80652402.

204256080 is a `hidden beast` number, since 20 + 4 + 2 + 560 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585481 + ... + 2585559.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^204256080 is an apocalyptic number.

204256080 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 204256080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433305600).

204256080 is an abundant number, since it is smaller than the sum of its proper divisors (662355120).

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

204256080 is a wasteful number, since it uses less digits than its factorization.

204256080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 204256080 is about 14291.8186386478. The cubic root of 204256080 is about 588.9227494210.

The spelling of 204256080 in words is "two hundred four million, two hundred fifty-six thousand, eighty".