204285312 has 384 divisors, whose sum is σ = 763776000. Its totient is φ = 51932160.

The previous prime is 204285269. The next prime is 204285331. The reversal of 204285312 is 213582402.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 4346473 + ... + 4346519.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^204285312 is an apocalyptic number.

204285312 is a gapful number since it is divisible by the number (22) 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 204285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

204285312 is an abundant number, since it is smaller than the sum of its proper divisors (559490688).

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

204285312 is a wasteful number, since it uses less digits than its factorization.

204285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 204285312 is about 14292.8412850630. The cubic root of 204285312 is about 588.9508425359.

The spelling of 204285312 in words is "two hundred four million, two hundred eighty-five thousand, three hundred twelve".