1256457216 has 264 divisors, whose sum is σ = 4133236896. Its totient is φ = 337182720.

The previous prime is 1256457203. The next prime is 1256457221. The reversal of 1256457216 is 6127546521.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558731 + ... + 2559221.

Almost surely, 2^1256457216 is an apocalyptic number.

1256457216 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 1256457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066618448).

1256457216 is an abundant number, since it is smaller than the sum of its proper divisors (2876779680).

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

1256457216 is a wasteful number, since it uses less digits than its factorization.

1256457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 520 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 1256457216 is about 35446.5402543041. The cubic root of 1256457216 is about 1079.0690468633.

The spelling of 1256457216 in words is "one billion, two hundred fifty-six million, four hundred fifty-seven thousand, two hundred sixteen".