205468480 has 112 divisors (see below), whose sum is σ = 578632320. Its totient is φ = 67995648.

The previous prime is 205468457. The next prime is 205468517. The reversal of 205468480 is 84864502.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63379 + ... + 66541.

It is an arithmetic number, because the mean of its divisors is an integer number (5166360).

Almost surely, 2^205468480 is an apocalyptic number.

205468480 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 205468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289316160).

205468480 is an abundant number, since it is smaller than the sum of its proper divisors (373163840).

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

205468480 is a wasteful number, since it uses less digits than its factorization.

205468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 205468480 is about 14334.1717584240. The cubic root of 205468480 is about 590.0856717497.

The spelling of 205468480 in words is "two hundred five million, four hundred sixty-eight thousand, four hundred eighty".