204480 has 84 divisors (see below), whose sum is σ = 713232. Its totient is φ = 53760.

The previous prime is 204461. The next prime is 204481. The reversal of 204480 is 84402.

It is a happy number.

204480 is a nontrivial binomial coefficient, being equal to C(640, 2).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (204481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2845 + ... + 2915.

2²⁰⁴⁴⁸⁰ is an apocalyptic number.

204480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204480 is the 639-th triangular number and also the 320-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356616).

204480 is an abundant number, since it is smaller than the sum of its proper divisors (508752).

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

204480 is a wasteful number, since it uses less digits than its factorization.

204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

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

The square root of 204480 is about 452.1946483540. The cubic root of 204480 is about 58.9137877121.

Adding to 204480 its reverse (84402), we get a palindrome (288882).

The spelling of 204480 in words is "two hundred four thousand, four hundred eighty".