205274880 has 216 divisors, whose sum is σ = 721270368. Its totient is φ = 53895168.

The previous prime is 205274869. The next prime is 205274887. The reversal of 205274880 is 88472502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205274887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186474 + ... + 1186646.

Almost surely, 2^205274880 is an apocalyptic number.

205274880 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 205274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360635184).

205274880 is an abundant number, since it is smaller than the sum of its proper divisors (515995488).

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

205274880 is a wasteful number, since it uses less digits than its factorization.

205274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 205274880 is about 14327.4170735691. The cubic root of 205274880 is about 589.9002799961.

The spelling of 205274880 in words is "two hundred five million, two hundred seventy-four thousand, eight hundred eighty".