204112440 has 512 divisors, whose sum is σ = 864000000. Its totient is φ = 42674688.

The previous prime is 204112439. The next prime is 204112477. The reversal of 204112440 is 44211402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7038346 + ... + 7038374.

It is an arithmetic number, because the mean of its divisors is an integer number (1687500).

Almost surely, 2^204112440 is an apocalyptic number.

204112440 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 204112440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000000).

204112440 is an abundant number, since it is smaller than the sum of its proper divisors (659887560).

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

204112440 is a wasteful number, since it uses less digits than its factorization.

204112440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204112440 is about 14286.7925021679. The cubic root of 204112440 is about 588.7846667080.

Adding to 204112440 its reverse (44211402), we get a palindrome (248323842).

The spelling of 204112440 in words is "two hundred four million, one hundred twelve thousand, four hundred forty".