205672460 has 96 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 65645568.

The previous prime is 205672459. The next prime is 205672559. The reversal of 205672460 is 64276502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244721 + ... + 245559.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^205672460 is an apocalyptic number.

205672460 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 205672460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

205672460 is an abundant number, since it is smaller than the sum of its proper divisors (322680820).

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

205672460 is a wasteful number, since it uses less digits than its factorization.

205672460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 205672460 is about 14341.2851585902. The cubic root of 205672460 is about 590.2808774669.

The spelling of 205672460 in words is "two hundred five million, six hundred seventy-two thousand, four hundred sixty".