256910080 has 144 divisors (see below), whose sum is σ = 717885504. Its totient is φ = 86261760.

The previous prime is 256910053. The next prime is 256910081. The reversal of 256910080 is 80019652.

It is not an unprimeable number, because it can be changed into a prime (256910081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474610 + ... + 475150.

It is an arithmetic number, because the mean of its divisors is an integer number (4985316).

Almost surely, 2^256910080 is an apocalyptic number.

256910080 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 256910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358942752).

256910080 is an abundant number, since it is smaller than the sum of its proper divisors (460975424).

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

256910080 is an equidigital number, since it uses as much as digits as its factorization.

256910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 256910080 is about 16028.4147687786. The cubic root of 256910080 is about 635.7119590154.

The spelling of 256910080 in words is "two hundred fifty-six million, nine hundred ten thousand, eighty".