144806480 has 80 divisors (see below), whose sum is σ = 414390144. Its totient is φ = 45826560.

The previous prime is 144806437. The next prime is 144806489. The reversal of 144806480 is 84608441.

144806480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 144806480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144806489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666 + ... + 17225.

Almost surely, 2^144806480 is an apocalyptic number.

144806480 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 144806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207195072).

144806480 is an abundant number, since it is smaller than the sum of its proper divisors (269583664).

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

144806480 is a wasteful number, since it uses less digits than its factorization.

144806480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19924 (or 19918 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 144806480 is about 12033.5564152914. The cubic root of 144806480 is about 525.1249649614.

The spelling of 144806480 in words is "one hundred forty-four million, eight hundred six thousand, four hundred eighty".