204725160 has 96 divisors (see below), whose sum is σ = 668084040. Its totient is φ = 54369792.

The previous prime is 204725159. The next prime is 204725179. The reversal of 204725160 is 61527402.

It can be written as a sum of positive squares in 4 ways, for example, as 132848676 + 71876484 = 11526^2 + 8478^2 .

It is a super-2 number, since 2×204725160² = 83824782274051200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98694 + ... + 100746.

Almost surely, 2^204725160 is an apocalyptic number.

204725160 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 204725160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334042020).

204725160 is an abundant number, since it is smaller than the sum of its proper divisors (463358880).

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

204725160 is a wasteful number, since it uses less digits than its factorization.

204725160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 204725160 is about 14308.2200150822. The cubic root of 204725160 is about 589.3732307958.

The spelling of 204725160 in words is "two hundred four million, seven hundred twenty-five thousand, one hundred sixty".