205451256 has 96 divisors (see below), whose sum is σ = 574704000. Its totient is φ = 61023744.

The previous prime is 205451219. The next prime is 205451261. The reversal of 205451256 is 652154502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131005 + ... + 132563.

It is an arithmetic number, because the mean of its divisors is an integer number (5986500).

Almost surely, 2^205451256 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 205451256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287352000).

205451256 is an abundant number, since it is smaller than the sum of its proper divisors (369252744).

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

205451256 is a wasteful number, since it uses less digits than its factorization.

205451256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 205451256 is about 14333.5709437669. The cubic root of 205451256 is about 590.0691827329.

The spelling of 205451256 in words is "two hundred five million, four hundred fifty-one thousand, two hundred fifty-six".