14416480 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 5117952.

The previous prime is 14416471. The next prime is 14416513. The reversal of 14416480 is 8461441.

14416480 = T₁₅₉ + T₁₆₀ + ... + T₄₄₈.

It is a congruent number.

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, 60201 + ... + 60439.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^14416480 is an apocalyptic number.

14416480 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 14416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

14416480 is an abundant number, since it is smaller than the sum of its proper divisors (23685920).

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

14416480 is a wasteful number, since it uses less digits than its factorization.

14416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14416480 is about 3796.9040019468. The cubic root of 14416480 is about 243.3808543373.

It can be divided in two parts, 1441 and 6480, that added together give a square (7921 = 89²).

The spelling of 14416480 in words is "fourteen million, four hundred sixteen thousand, four hundred eighty".