256727520 has 144 divisors (see below), whose sum is σ = 1001276640. Its totient is φ = 58678272.

The previous prime is 256727507. The next prime is 256727533. The reversal of 256727520 is 25727652.

256727520 is a `hidden beast` number, since 2 + 567 + 2 + 75 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (256727507) and next prime (256727533).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2655 + ... + 22814.

It is an arithmetic number, because the mean of its divisors is an integer number (6953310).

Almost surely, 2^256727520 is an apocalyptic number.

256727520 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 256727520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500638320).

256727520 is an abundant number, since it is smaller than the sum of its proper divisors (744549120).

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

256727520 is a wasteful number, since it uses less digits than its factorization.

256727520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25497 (or 25486 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 256727520 is about 16022.7188704040. The cubic root of 256727520 is about 635.5613446114.

The spelling of 256727520 in words is "two hundred fifty-six million, seven hundred twenty-seven thousand, five hundred twenty".