14478240 has 192 divisors, whose sum is σ = 54190080. Its totient is φ = 3179520.

The previous prime is 14478227. The next prime is 14478241. The reversal of 14478240 is 4287441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14478198 and 14478207.

It is not an unprimeable number, because it can be changed into a prime (14478241) 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, 104091 + ... + 104229.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 2^14478240 is an apocalyptic number.

14478240 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 14478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

14478240 is an abundant number, since it is smaller than the sum of its proper divisors (39711840).

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

14478240 is a wasteful number, since it uses less digits than its factorization.

14478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 14478240 is about 3805.0282521947. The cubic root of 14478240 is about 243.7279059527.

The spelling of 14478240 in words is "fourteen million, four hundred seventy-eight thousand, two hundred forty".