204487920 has 240 divisors, whose sum is σ = 845487552. Its totient is φ = 43130880.

The previous prime is 204487909. The next prime is 204487949. The reversal of 204487920 is 29784402.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63960 + ... + 67080.

Almost surely, 2^204487920 is an apocalyptic number.

204487920 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 204487920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422743776).

204487920 is an abundant number, since it is smaller than the sum of its proper divisors (640999632).

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

204487920 is a wasteful number, since it uses less digits than its factorization.

204487920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 204487920 is about 14299.9272725423. The cubic root of 204487920 is about 589.1454832634.

The spelling of 204487920 in words is "two hundred four million, four hundred eighty-seven thousand, nine hundred twenty".