256734576 has 160 divisors (see below), whose sum is σ = 854469120. Its totient is φ = 72285696.

The previous prime is 256734557. The next prime is 256734581. The reversal of 256734576 is 675437652.

256734576 is a `hidden beast` number, since 2 + 5 + 6 + 73 + 4 + 576 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1058400) is a multiple of the sum of its prime factors (1260).

It is a congruent number.

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, 220171 + ... + 221333.

It is an arithmetic number, because the mean of its divisors is an integer number (5340432).

Almost surely, 2^256734576 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 256734576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427234560).

256734576 is an abundant number, since it is smaller than the sum of its proper divisors (597734544).

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

256734576 is a wasteful number, since it uses less digits than its factorization.

256734576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1248 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 256734576 is about 16022.9390562406. The cubic root of 256734576 is about 635.5671672306.

The spelling of 256734576 in words is "two hundred fifty-six million, seven hundred thirty-four thousand, five hundred seventy-six".