1256471328 has 144 divisors (see below), whose sum is σ = 3890345760. Its totient is φ = 353977344.

The previous prime is 1256471327. The next prime is 1256471329. The reversal of 1256471328 is 8231746521.

It is an interprime number because it is at equal distance from previous prime (1256471327) and next prime (1256471329).

It is not an unprimeable number, because it can be changed into a prime (1256471327) 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 23 ways as a sum of consecutive naturals, for example, 341563 + ... + 345221.

It is an arithmetic number, because the mean of its divisors is an integer number (27016290).

Almost surely, 2^1256471328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1256471328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945172880).

1256471328 is an abundant number, since it is smaller than the sum of its proper divisors (2633874432).

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

1256471328 is a wasteful number, since it uses less digits than its factorization.

1256471328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3744 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 1256471328 is about 35446.7393140751. The cubic root of 1256471328 is about 1079.0730867316.

The spelling of 1256471328 in words is "one billion, two hundred fifty-six million, four hundred seventy-one thousand, three hundred twenty-eight".