205472976 has 80 divisors (see below), whose sum is σ = 548589888. Its totient is φ = 66227200.

The previous prime is 205472947. The next prime is 205473001. The reversal of 205472976 is 679274502.

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, 257410 + ... + 258206.

Almost surely, 2^205472976 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 205472976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274294944).

205472976 is an abundant number, since it is smaller than the sum of its proper divisors (343116912).

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

205472976 is a wasteful number, since it uses less digits than its factorization.

205472976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 205472976 is about 14334.3285856018. The cubic root of 205472976 is about 590.0899757445.

The spelling of 205472976 in words is "two hundred five million, four hundred seventy-two thousand, nine hundred seventy-six".