14424480 has 288 divisors, whose sum is σ = 59439744. Its totient is φ = 3234816.

The previous prime is 14424469. The next prime is 14424493. The reversal of 14424480 is 8442441.

14424480 = T₂₄₁ + T₂₄₂ + ... + T₄₆₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 318 × 270 × 168.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272134 + ... + 272186.

It is an arithmetic number, because the mean of its divisors is an integer number (206388).

Almost surely, 2^14424480 is an apocalyptic number.

14424480 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 14424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

14424480 is an abundant number, since it is smaller than the sum of its proper divisors (45015264).

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

14424480 is an equidigital number, since it uses as much as digits as its factorization.

14424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 14424480 is about 3797.9573457320. The cubic root of 14424480 is about 243.4258650194.

The spelling of 14424480 in words is "fourteen million, four hundred twenty-four thousand, four hundred eighty".