1457216256 has 144 divisors (see below), whose sum is σ = 4051109888. Its totient is φ = 464486400.

The previous prime is 1457216239. The next prime is 1457216261. The reversal of 1457216256 is 6526127541.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2309061 + ... + 2309691.

Almost surely, 2^1457216256 is an apocalyptic number.

1457216256 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 1457216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025554944).

1457216256 is an abundant number, since it is smaller than the sum of its proper divisors (2593893632).

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

1457216256 is an equidigital number, since it uses as much as digits as its factorization.

1457216256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 764 counting only the distinct ones).

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

The square root of 1457216256 is about 38173.5020138315. The cubic root of 1457216256 is about 1133.7257283311.

The spelling of 1457216256 in words is "one billion, four hundred fifty-seven million, two hundred sixteen thousand, two hundred fifty-six".