14480000 has 80 divisors (see below), whose sum is σ = 36246210. Its totient is φ = 5760000.

The previous prime is 14479981. The next prime is 14480009. The reversal of 14480000 is 8441.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 760384 + 13719616 = 872^2 + 3704^2 .

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

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14480009) 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 9 ways as a sum of consecutive naturals, for example, 79910 + ... + 80090.

Almost surely, 2^14480000 is an apocalyptic number.

14480000 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 14480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123105).

14480000 is an abundant number, since it is smaller than the sum of its proper divisors (21766210).

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

14480000 is an frugal number, since it uses more digits than its factorization.

14480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 14480000 is about 3805.2595180881. The cubic root of 14480000 is about 243.7377815484.

Adding to 14480000 its reverse (8441), we get a palindrome (14488441).

The spelling of 14480000 in words is "fourteen million, four hundred eighty thousand".