205749480 has 256 divisors, whose sum is σ = 696729600. Its totient is φ = 48384000.

The previous prime is 205749473. The next prime is 205749493. The reversal of 205749480 is 84947502.

205749480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2897845 + ... + 2897915.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2^205749480 is an apocalyptic number.

205749480 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 205749480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

205749480 is an abundant number, since it is smaller than the sum of its proper divisors (490980120).

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

205749480 is a wasteful number, since it uses less digits than its factorization.

205749480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 205749480 is about 14343.9701617091. The cubic root of 205749480 is about 590.3545508525.

The spelling of 205749480 in words is "two hundred five million, seven hundred forty-nine thousand, four hundred eighty".