1456001280 has 216 divisors, whose sum is σ = 5069937600. Its totient is φ = 385781760.

The previous prime is 1456001191. The next prime is 1456001291. The reversal of 1456001280 is 821006541.

1456001280 is a `hidden beast` number, since 1 + 45 + 600 + 12 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2430421 + ... + 2431019.

Almost surely, 2^1456001280 is an apocalyptic number.

1456001280 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 1456001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534968800).

1456001280 is an abundant number, since it is smaller than the sum of its proper divisors (3613936320).

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

1456001280 is a wasteful number, since it uses less digits than its factorization.

1456001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1456001280 is about 38157.5848292315. The cubic root of 1456001280 is about 1133.4105537542.

The spelling of 1456001280 in words is "one billion, four hundred fifty-six million, one thousand, two hundred eighty".