256757060 has 144 divisors (see below), whose sum is σ = 659728944. Its totient is φ = 83607552.

The previous prime is 256757029. The next prime is 256757143. The reversal of 256757060 is 60757652.

It can be written as a sum of positive squares in 8 ways, for example, as 6927424 + 249829636 = 2632^2 + 15806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2646932 + ... + 2647028.

It is an arithmetic number, because the mean of its divisors is an integer number (4581451).

Almost surely, 2^256757060 is an apocalyptic number.

256757060 is a gapful number since it is divisible by the number (20) 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 256757060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329864472).

256757060 is an abundant number, since it is smaller than the sum of its proper divisors (402971884).

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

256757060 is a wasteful number, since it uses less digits than its factorization.

256757060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 256757060 is about 16023.6406599749. The cubic root of 256757060 is about 635.5857203413.

The spelling of 256757060 in words is "two hundred fifty-six million, seven hundred fifty-seven thousand, sixty".