204684480 has 672 divisors, whose sum is σ = 958583808. Its totient is φ = 38707200.

The previous prime is 204684457. The next prime is 204684499. The reversal of 204684480 is 84486402.

204684480 is a `hidden beast` number, since 204 + 6 + 8 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2882845 + ... + 2882915.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^204684480 is an apocalyptic number.

204684480 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 204684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

204684480 is an abundant number, since it is smaller than the sum of its proper divisors (753899328).

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

204684480 is a wasteful number, since it uses less digits than its factorization.

204684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 204684480 is about 14306.7983839851. The cubic root of 204684480 is about 589.3341909904.

The spelling of 204684480 in words is "two hundred four million, six hundred eighty-four thousand, four hundred eighty".