144480 has 96 divisors (see below), whose sum is σ = 532224. Its totient is φ = 32256.

The previous prime is 144479. The next prime is 144481. The reversal of 144480 is 84441.

It is an interprime number because it is at equal distance from previous prime (144479) and next prime (144481).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144481) 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, 3339 + ... + 3381.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2¹⁴⁴⁴⁸⁰ is an apocalyptic number.

144480 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 144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

144480 is an abundant number, since it is smaller than the sum of its proper divisors (387744).

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

144480 is a wasteful number, since it uses less digits than its factorization.

144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 144480 is about 380.1052485825. The cubic root of 144480 is about 52.4730019917.

The spelling of 144480 in words is "one hundred forty-four thousand, four hundred eighty".