204941440 has 128 divisors (see below), whose sum is σ = 547715520. Its totient is φ = 72683520.

The previous prime is 204941437. The next prime is 204941447. The reversal of 204941440 is 44149402.

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 = 204941399 and 204941408.

It is not an unprimeable number, because it can be changed into a prime (204941447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302382 + ... + 303058.

Almost surely, 2^204941440 is an apocalyptic number.

204941440 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 204941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273857760).

204941440 is an abundant number, since it is smaller than the sum of its proper divisors (342774080).

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

204941440 is a wasteful number, since it uses less digits than its factorization.

204941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 204941440 is about 14315.7759133063. The cubic root of 204941440 is about 589.5807037165.

The spelling of 204941440 in words is "two hundred four million, nine hundred forty-one thousand, four hundred forty".