256973280 has 48 divisors (see below), whose sum is σ = 809467344. Its totient is φ = 68526080.

The previous prime is 256973243. The next prime is 256973293. The reversal of 256973280 is 82379652.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 267201 + ... + 268160.

It is an arithmetic number, because the mean of its divisors is an integer number (16863903).

Almost surely, 2^256973280 is an apocalyptic number.

256973280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256973280 is an abundant number, since it is smaller than the sum of its proper divisors (552494064).

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

256973280 is a wasteful number, since it uses less digits than its factorization.

256973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535379 (or 535371 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 256973280 is about 16030.3861463160. The cubic root of 256973280 is about 635.7640832213.

The spelling of 256973280 in words is "two hundred fifty-six million, nine hundred seventy-three thousand, two hundred eighty".