256946960 has 40 divisors (see below), whose sum is σ = 618007320. Its totient is φ = 99233792.

The previous prime is 256946953. The next prime is 256946969. The reversal of 256946960 is 69649652.

It can be written as a sum of positive squares in 4 ways, for example, as 95961616 + 160985344 = 9796^2 + 12688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (256946969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53057 + ... + 57696.

It is an arithmetic number, because the mean of its divisors is an integer number (15450183).

Almost surely, 2^256946960 is an apocalyptic number.

256946960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256946960 is an abundant number, since it is smaller than the sum of its proper divisors (361060360).

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

256946960 is a wasteful number, since it uses less digits than its factorization.

256946960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110795 (or 110789 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The square root of 256946960 is about 16029.5651843710. The cubic root of 256946960 is about 635.7423768374.

The spelling of 256946960 in words is "two hundred fifty-six million, nine hundred forty-six thousand, nine hundred sixty".