1256448000 has 224 divisors, whose sum is σ = 4191426720. Its totient is φ = 334233600.

The previous prime is 1256447999. The next prime is 1256448029. The reversal of 1256448000 is 8446521.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 3071796 + ... + 3072204.

Almost surely, 2^1256448000 is an apocalyptic number.

1256448000 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 1256448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095713360).

1256448000 is an abundant number, since it is smaller than the sum of its proper divisors (2934978720).

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

1256448000 is an frugal number, since it uses more digits than its factorization.

1256448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1256448000 is about 35446.4102554829. The cubic root of 1256448000 is about 1079.0664085655.

The spelling of 1256448000 in words is "one billion, two hundred fifty-six million, four hundred forty-eight thousand".