204955380 has 192 divisors, whose sum is σ = 741888000. Its totient is φ = 46002816.

The previous prime is 204955379. The next prime is 204955381. The reversal of 204955380 is 83559402.

204955380 is a `hidden beast` number, since 20 + 4 + 9 + 553 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (204955379) and next prime (204955381).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204955381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222561 + ... + 223479.

It is an arithmetic number, because the mean of its divisors is an integer number (3864000).

Almost surely, 2^204955380 is an apocalyptic number.

204955380 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 204955380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370944000).

204955380 is an abundant number, since it is smaller than the sum of its proper divisors (536932620).

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

204955380 is a wasteful number, since it uses less digits than its factorization.

204955380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 204955380 is about 14316.2627804885. The cubic root of 204955380 is about 589.5940710613.

The spelling of 204955380 in words is "two hundred four million, nine hundred fifty-five thousand, three hundred eighty".