205280416 has 48 divisors (see below), whose sum is σ = 443566368. Its totient is φ = 92742400.

The previous prime is 205280393. The next prime is 205280417. The reversal of 205280416 is 614082502.

It is not an unprimeable number, because it can be changed into a prime (205280417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59211 + ... + 62581.

It is an arithmetic number, because the mean of its divisors is an integer number (9240966).

Almost surely, 2^205280416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205280416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221783184).

205280416 is an abundant number, since it is smaller than the sum of its proper divisors (238285952).

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

205280416 is a wasteful number, since it uses less digits than its factorization.

205280416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 205280416 is about 14327.6102682897. The cubic root of 205280416 is about 589.9055828996.

The spelling of 205280416 in words is "two hundred five million, two hundred eighty thousand, four hundred sixteen".