256458960 has 200 divisors, whose sum is σ = 938050080. Its totient is φ = 64758528.

The previous prime is 256458959. The next prime is 256458989. The reversal of 256458960 is 69854652.

256458960 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 589 + 60 = 666.

256458960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 122079 + ... + 124161.

Almost surely, 2^256458960 is an apocalyptic number.

256458960 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 256458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469025040).

256458960 is an abundant number, since it is smaller than the sum of its proper divisors (681591120).

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

256458960 is a wasteful number, since it uses less digits than its factorization.

256458960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 256458960 is about 16014.3360774026. The cubic root of 256458960 is about 635.3396492421.

The spelling of 256458960 in words is "two hundred fifty-six million, four hundred fifty-eight thousand, nine hundred sixty".