204801948 has 72 divisors (see below), whose sum is σ = 570537968. Its totient is φ = 61544448.

The previous prime is 204801943. The next prime is 204801979. The reversal of 204801948 is 849108402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204801943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15036 + ... + 25212.

Almost surely, 2^204801948 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 204801948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285268984).

204801948 is an abundant number, since it is smaller than the sum of its proper divisors (365736020).

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

204801948 is a wasteful number, since it uses less digits than its factorization.

204801948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 204801948 is about 14310.9031161559. The cubic root of 204801948 is about 589.4469086550.

The spelling of 204801948 in words is "two hundred four million, eight hundred one thousand, nine hundred forty-eight".