256724608 has 64 divisors (see below), whose sum is σ = 588107520. Its totient is φ = 109347840.

The previous prime is 256724563. The next prime is 256724623. The reversal of 256724608 is 806427652.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161385 + ... + 162967.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2^256724608 is an apocalyptic number.

256724608 is a gapful number since it is divisible by the number (28) 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 256724608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294053760).

256724608 is an abundant number, since it is smaller than the sum of its proper divisors (331382912).

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

256724608 is a wasteful number, since it uses less digits than its factorization.

256724608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 256724608 is about 16022.6279991767. The cubic root of 256724608 is about 635.5589415946.

The spelling of 256724608 in words is "two hundred fifty-six million, seven hundred twenty-four thousand, six hundred eight".