256908576 has 96 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 79764480.

The previous prime is 256908569. The next prime is 256908577. The reversal of 256908576 is 675809652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (256908577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110110 + ... + 112418.

It is an arithmetic number, because the mean of its divisors is an integer number (7519050).

Almost surely, 2^256908576 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 256908576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

256908576 is an abundant number, since it is smaller than the sum of its proper divisors (464920224).

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

256908576 is a wasteful number, since it uses less digits than its factorization.

256908576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 256908576 is about 16028.3678520303. The cubic root of 256908576 is about 635.7107184871.

The spelling of 256908576 in words is "two hundred fifty-six million, nine hundred eight thousand, five hundred seventy-six".