204878016 has 336 divisors, whose sum is σ = 737006400. Its totient is φ = 54190080.

The previous prime is 204877979. The next prime is 204878053. The reversal of 204878016 is 610878402.

It is an interprime number because it is at equal distance from previous prime (204877979) and next prime (204878053).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 3358626 + ... + 3358686.

Almost surely, 2^204878016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368503200).

204878016 is an abundant number, since it is smaller than the sum of its proper divisors (532128384).

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

204878016 is a wasteful number, since it uses less digits than its factorization.

204878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 204878016 is about 14313.5605633260. The cubic root of 204878016 is about 589.5198775204.

The spelling of 204878016 in words is "two hundred four million, eight hundred seventy-eight thousand, sixteen".