205461116 has 96 divisors (see below), whose sum is σ = 464486400. Its totient is φ = 79064832.

The previous prime is 205461071. The next prime is 205461119. The reversal of 205461116 is 611164502.

205461116 = T₂₈₁₃ + T₂₈₁₄ + ... + T₂₈₆₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205461119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536261 + ... + 536643.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^205461116 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 205461116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

205461116 is an abundant number, since it is smaller than the sum of its proper divisors (259025284).

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

205461116 is a wasteful number, since it uses less digits than its factorization.

205461116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 205461116 is about 14333.9148874270. The cubic root of 205461116 is about 590.0786220994.

The spelling of 205461116 in words is "two hundred five million, four hundred sixty-one thousand, one hundred sixteen".