204918480 has 120 divisors (see below), whose sum is σ = 741155688. Its totient is φ = 50439168.

The previous prime is 204918479. The next prime is 204918481. The reversal of 204918480 is 84819402.

204918480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204918479) and next prime (204918481).

It can be written as a sum of positive squares in 4 ways, for example, as 13483584 + 191434896 = 3672^2 + 13836^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204918481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1587 + ... + 20306.

Almost surely, 2^204918480 is an apocalyptic number.

204918480 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 204918480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370577844).

204918480 is an abundant number, since it is smaller than the sum of its proper divisors (536237208).

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

204918480 is a wasteful number, since it uses less digits than its factorization.

204918480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21925 (or 21916 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 204918480 is about 14314.9739783207. The cubic root of 204918480 is about 589.5586855919.

The spelling of 204918480 in words is "two hundred four million, nine hundred eighteen thousand, four hundred eighty".