1259780256 has 288 divisors, whose sum is σ = 4439594880. Its totient is φ = 340402176.

The previous prime is 1259780251. The next prime is 1259780273. The reversal of 1259780256 is 6520879521.

1259780256 is a `hidden beast` number, since 1 + 2 + 597 + 8 + 0 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1259780251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2183040 + ... + 2183616.

It is an arithmetic number, because the mean of its divisors is an integer number (15415260).

Almost surely, 2^1259780256 is an apocalyptic number.

1259780256 is a gapful number since it is divisible by the number (16) 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 1259780256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219797440).

1259780256 is an abundant number, since it is smaller than the sum of its proper divisors (3179814624).

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

1259780256 is a wasteful number, since it uses less digits than its factorization.

1259780256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1259780256 is about 35493.3832706886. The cubic root of 1259780256 is about 1080.0195058205.

The spelling of 1259780256 in words is "one billion, two hundred fifty-nine million, seven hundred eighty thousand, two hundred fifty-six".