204072048 has 100 divisors (see below), whose sum is σ = 601990488. Its totient is φ = 66718080.

The previous prime is 204072019. The next prime is 204072059. The reversal of 204072048 is 840270402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67203 + ... + 70173.

Almost surely, 2^204072048 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 204072048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300995244).

204072048 is an abundant number, since it is smaller than the sum of its proper divisors (397918440).

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

204072048 is a wasteful number, since it uses less digits than its factorization.

204072048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 204072048 is about 14285.3788189183. The cubic root of 204072048 is about 588.7458257646.

It can be divided in two parts, 2040 and 72048, that added together give a cube (74088 = 42³).

The spelling of 204072048 in words is "two hundred four million, seventy-two thousand, forty-eight".