204260032 has 112 divisors (see below), whose sum is σ = 464698080. Its totient is φ = 88473600.

The previous prime is 204260009. The next prime is 204260053. The reversal of 204260032 is 230062402.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 204259991 and 204260009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847432 + ... + 847672.

It is an arithmetic number, because the mean of its divisors is an integer number (4149090).

Almost surely, 2^204260032 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 204260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232349040).

204260032 is an abundant number, since it is smaller than the sum of its proper divisors (260438048).

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

204260032 is a wasteful number, since it uses less digits than its factorization.

204260032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 204260032 is about 14291.9568988995. The cubic root of 204260032 is about 588.9265476069.

The spelling of 204260032 in words is "two hundred four million, two hundred sixty thousand, thirty-two".