14109480 has 192 divisors, whose sum is σ = 57283200. Its totient is φ = 2926080.

The previous prime is 14109467. The next prime is 14109481. The reversal of 14109480 is 8490141.

14109480 = T₁₆₇ + T₁₆₈ + ... + T₄₄₆.

14109480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14109481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27466 + ... + 27974.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 2^14109480 is an apocalyptic number.

14109480 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 14109480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641600).

14109480 is an abundant number, since it is smaller than the sum of its proper divisors (43173720).

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

14109480 is a wasteful number, since it uses less digits than its factorization.

14109480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14109480 is about 3756.2587770280. The cubic root of 14109480 is about 241.6408396234.

The spelling of 14109480 in words is "fourteen million, one hundred nine thousand, four hundred eighty".