204852984 has 128 divisors (see below), whose sum is σ = 637632000. Its totient is φ = 53512704.

The previous prime is 204852983. The next prime is 204852997. The reversal of 204852984 is 489258402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204852983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91462 + ... + 93674.

It is an arithmetic number, because the mean of its divisors is an integer number (4981500).

Almost surely, 2^204852984 is an apocalyptic number.

204852984 is a gapful number since it is divisible by the number (24) 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 204852984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318816000).

204852984 is an abundant number, since it is smaller than the sum of its proper divisors (432779016).

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

204852984 is a wasteful number, since it uses less digits than its factorization.

204852984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 204852984 is about 14312.6861210606. The cubic root of 204852984 is about 589.4958673591.

The spelling of 204852984 in words is "two hundred four million, eight hundred fifty-two thousand, nine hundred eighty-four".