204766380 has 288 divisors, whose sum is σ = 794486784. Its totient is φ = 43110144.

The previous prime is 204766351. The next prime is 204766391. The reversal of 204766380 is 83667402.

204766380 is a `hidden beast` number, since 204 + 76 + 6 + 380 = 666.

204766380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 442029 + ... + 442491.

Almost surely, 2^204766380 is an apocalyptic number.

204766380 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 204766380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397243392).

204766380 is an abundant number, since it is smaller than the sum of its proper divisors (589720404).

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

204766380 is a wasteful number, since it uses less digits than its factorization.

204766380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 204766380 is about 14309.6603733282. The cubic root of 204766380 is about 589.4127835541.

The spelling of 204766380 in words is "two hundred four million, seven hundred sixty-six thousand, three hundred eighty".