256580500 has 72 divisors (see below), whose sum is σ = 616091112. Its totient is φ = 93280000.

The previous prime is 256580497. The next prime is 256580573. The reversal of 256580500 is 5085652.

It can be written as a sum of positive squares in 4 ways, for example, as 3579664 + 253000836 = 1892^2 + 15906^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58380 + ... + 62620.

It is an arithmetic number, because the mean of its divisors is an integer number (8556821).

Almost surely, 2^256580500 is an apocalyptic number.

256580500 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 256580500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308045556).

256580500 is an abundant number, since it is smaller than the sum of its proper divisors (359510612).

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

256580500 is a wasteful number, since it uses less digits than its factorization.

256580500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 256580500 is about 16018.1303528221. The cubic root of 256580500 is about 635.4399992627.

The spelling of 256580500 in words is "two hundred fifty-six million, five hundred eighty thousand, five hundred".