14460880 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 4515840.

The previous prime is 14460847. The next prime is 14460889. The reversal of 14460880 is 8806441.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14460889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466465 + ... + 466495.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^14460880 is an apocalyptic number.

14460880 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 14460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

14460880 is an abundant number, since it is smaller than the sum of its proper divisors (28393520).

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

14460880 is a wasteful number, since it uses less digits than its factorization.

14460880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 14460880 is about 3802.7463759762. The cubic root of 14460880 is about 243.6304537608.

The spelling of 14460880 in words is "fourteen million, four hundred sixty thousand, eight hundred eighty".