203838048 has 72 divisors (see below), whose sum is σ = 584333568. Its totient is φ = 67398912.

The previous prime is 203838043. The next prime is 203838059. The reversal of 203838048 is 840838302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (203838043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33790 + ... + 39362.

It is an arithmetic number, because the mean of its divisors is an integer number (8115744).

Almost surely, 2^203838048 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 203838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292166784).

203838048 is an abundant number, since it is smaller than the sum of its proper divisors (380495520).

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

203838048 is a wasteful number, since it uses less digits than its factorization.

203838048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 203838048 is about 14277.1862774147. The cubic root of 203838048 is about 588.5207104765.

The spelling of 203838048 in words is "two hundred three million, eight hundred thirty-eight thousand, forty-eight".