205480800 has 432 divisors, whose sum is σ = 864444672. Its totient is φ = 46656000.

The previous prime is 205480787. The next prime is 205480829. The reversal of 205480800 is 8084502.

205480800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360725 + ... + 1360875.

Almost surely, 2^205480800 is an apocalyptic number.

205480800 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 205480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

205480800 is an abundant number, since it is smaller than the sum of its proper divisors (658963872).

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

205480800 is a wasteful number, since it uses less digits than its factorization.

205480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 205480800 is about 14334.6014942865. The cubic root of 205480800 is about 590.0974654648.

The spelling of 205480800 in words is "two hundred five million, four hundred eighty thousand, eight hundred".