204461040 has 160 divisors (see below), whose sum is σ = 767093760. Its totient is φ = 43978752.

The previous prime is 204461029. The next prime is 204461083. The reversal of 204461040 is 40164402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 204460998 and 204461016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24981 + ... + 32139.

It is an arithmetic number, because the mean of its divisors is an integer number (4794336).

Almost surely, 2^204461040 is an apocalyptic number.

204461040 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 204461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383546880).

204461040 is an abundant number, since it is smaller than the sum of its proper divisors (562632720).

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

204461040 is a wasteful number, since it uses less digits than its factorization.

204461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204461040 is about 14298.9873767341. The cubic root of 204461040 is about 589.1196676806.

The spelling of 204461040 in words is "two hundred four million, four hundred sixty-one thousand, forty".