256260576 has 144 divisors (see below), whose sum is σ = 796742352. Its totient is φ = 71639040.

The previous prime is 256260569. The next prime is 256260629. The reversal of 256260576 is 675062652.

256260576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 150160 + ... + 151856.

It is an arithmetic number, because the mean of its divisors is an integer number (5532933).

Almost surely, 2^256260576 is an apocalyptic number.

256260576 is a gapful number since it is divisible by the number (26) 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 256260576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398371176).

256260576 is an abundant number, since it is smaller than the sum of its proper divisors (540481776).

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

256260576 is a wasteful number, since it uses less digits than its factorization.

256260576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 256260576 is about 16008.1409289149. The cubic root of 256260576 is about 635.1757845121.

The spelling of 256260576 in words is "two hundred fifty-six million, two hundred sixty thousand, five hundred seventy-six".