14801456 has 40 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 6946560.

The previous prime is 14801453. The next prime is 14801461. The reversal of 14801456 is 65410841.

It is not an unprimeable number, because it can be changed into a prime (14801453) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54890 + ... + 55158.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^14801456 is an apocalyptic number.

14801456 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 14801456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

14801456 is an abundant number, since it is smaller than the sum of its proper divisors (15665344).

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

14801456 is a wasteful number, since it uses less digits than its factorization.

14801456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 14801456 is about 3847.2660422695. The cubic root of 14801456 is about 245.5282562676.

The spelling of 14801456 in words is "fourteen million, eight hundred one thousand, four hundred fifty-six".