204263040 has 128 divisors (see below), whose sum is σ = 655672320. Its totient is φ = 54087680.

The previous prime is 204263039. The next prime is 204263063. The reversal of 204263040 is 40362402.

204263040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 204262998 and 204263016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366442 + ... + 366998.

It is an arithmetic number, because the mean of its divisors is an integer number (5122440).

Almost surely, 2^204263040 is an apocalyptic number.

204263040 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 204263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327836160).

204263040 is an abundant number, since it is smaller than the sum of its proper divisors (451409280).

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

204263040 is a wasteful number, since it uses less digits than its factorization.

204263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 204263040 is about 14292.0621325266. The cubic root of 204263040 is about 588.9294385010.

The spelling of 204263040 in words is "two hundred four million, two hundred sixty-three thousand, forty".