204351040 has 56 divisors (see below), whose sum is σ = 495833400. Its totient is φ = 80191488.

The previous prime is 204351029. The next prime is 204351041. The reversal of 204351040 is 40153402.

204351040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 52765696 + 151585344 = 7264^2 + 12312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204350999 and 204351017.

It is not an unprimeable number, because it can be changed into a prime (204351041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10936 + ... + 22984.

Almost surely, 2^204351040 is an apocalyptic number.

204351040 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 204351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247916700).

204351040 is an abundant number, since it is smaller than the sum of its proper divisors (291482360).

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

204351040 is a wasteful number, since it uses less digits than its factorization.

204351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 204351040 is about 14295.1404330283. The cubic root of 204351040 is about 589.0139999728.

The spelling of 204351040 in words is "two hundred four million, three hundred fifty-one thousand, forty".