204414040 has 64 divisors (see below), whose sum is σ = 478159200. Its totient is φ = 78554112.

The previous prime is 204414019. The next prime is 204414053. The reversal of 204414040 is 40414402.

204414040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204413999 and 204414017.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 362799 + ... + 363361.

Almost surely, 2^204414040 is an apocalyptic number.

204414040 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 204414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239079600).

204414040 is an abundant number, since it is smaller than the sum of its proper divisors (273745160).

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

204414040 is a wasteful number, since it uses less digits than its factorization.

204414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 204414040 is about 14297.3438092535. The cubic root of 204414040 is about 589.0745233892.

Adding to 204414040 its reverse (40414402), we get a palindrome (244828442).

The spelling of 204414040 in words is "two hundred four million, four hundred fourteen thousand, forty".