205384480 has 288 divisors, whose sum is σ = 632935296. Its totient is φ = 62447616.

The previous prime is 205384477. The next prime is 205384481. The reversal of 205384480 is 84483502.

205384480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (205384481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3065407 + ... + 3065473.

It is an arithmetic number, because the mean of its divisors is an integer number (2197692).

Almost surely, 2^205384480 is an apocalyptic number.

205384480 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 205384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316467648).

205384480 is an abundant number, since it is smaller than the sum of its proper divisors (427550816).

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

205384480 is a wasteful number, since it uses less digits than its factorization.

205384480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 205384480 is about 14331.2413977296. The cubic root of 205384480 is about 590.0052474876.

The spelling of 205384480 in words is "two hundred five million, three hundred eighty-four thousand, four hundred eighty".