14242480 has 80 divisors (see below), whose sum is σ = 39193920. Its totient is φ = 4709376.

The previous prime is 14242469. The next prime is 14242489. The reversal of 14242480 is 8424241.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14242489) 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 15 ways as a sum of consecutive naturals, for example, 15802 + ... + 16678.

It is an arithmetic number, because the mean of its divisors is an integer number (489924).

Almost surely, 2^14242480 is an apocalyptic number.

14242480 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 14242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19596960).

14242480 is an abundant number, since it is smaller than the sum of its proper divisors (24951440).

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

14242480 is a wasteful number, since it uses less digits than its factorization.

14242480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 14242480 is about 3773.9210378597. The cubic root of 14242480 is about 242.3977249657.

The spelling of 14242480 in words is "fourteen million, two hundred forty-two thousand, four hundred eighty".