204986880 has 480 divisors, whose sum is σ = 857945088. Its totient is φ = 44236800.

The previous prime is 204986863. The next prime is 204986897. The reversal of 204986880 is 88689402.

It is a happy number.

204986880 is a `hidden beast` number, since 20 + 498 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (204986863) and next prime (204986897).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999660 + ... + 4999700.

Almost surely, 2^204986880 is an apocalyptic number.

204986880 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 204986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428972544).

204986880 is an abundant number, since it is smaller than the sum of its proper divisors (652958208).

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

204986880 is a wasteful number, since it uses less digits than its factorization.

204986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 204986880 is about 14317.3628856714. The cubic root of 204986880 is about 589.6242748091.

The spelling of 204986880 in words is "two hundred four million, nine hundred eighty-six thousand, eight hundred eighty".