14172480 has 336 divisors, whose sum is σ = 60228480. Its totient is φ = 2985984.

The previous prime is 14172479. The next prime is 14172493. The reversal of 14172480 is 8427141.

14172480 is a `hidden beast` number, since 1 + 417 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383022 + ... + 383058.

Almost surely, 2^14172480 is an apocalyptic number.

14172480 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 14172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30114240).

14172480 is an abundant number, since it is smaller than the sum of its proper divisors (46056000).

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

14172480 is a wasteful number, since it uses less digits than its factorization.

14172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 14172480 is about 3764.6354405174. The cubic root of 14172480 is about 241.9999544658. Note that the first 4 decimals are identical.

The spelling of 14172480 in words is "fourteen million, one hundred seventy-two thousand, four hundred eighty".