1256870880 has 288 divisors, whose sum is σ = 4524496704. Its totient is φ = 317104128.

The previous prime is 1256870837. The next prime is 1256870939. The reversal of 1256870880 is 880786521.

1256870880 is a `hidden beast` number, since 1 + 2 + 568 + 7 + 0 + 8 + 80 = 666.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4537302 + ... + 4537578.

It is an arithmetic number, because the mean of its divisors is an integer number (15710058).

Almost surely, 2^1256870880 is an apocalyptic number.

1256870880 is a gapful number since it is divisible by the number (10) 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 1256870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262248352).

1256870880 is an abundant number, since it is smaller than the sum of its proper divisors (3267625824).

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

1256870880 is a wasteful number, since it uses less digits than its factorization.

1256870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1256870880 is about 35452.3748146721. The cubic root of 1256870880 is about 1079.1874546729.

The spelling of 1256870880 in words is "one billion, two hundred fifty-six million, eight hundred seventy thousand, eight hundred eighty".