144804480 has 128 divisors (see below), whose sum is σ = 470603520. Its totient is φ = 37859328.

The previous prime is 144804469. The next prime is 144804523. The reversal of 144804480 is 84408441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101049 + ... + 102471.

It is an arithmetic number, because the mean of its divisors is an integer number (3676590).

Almost surely, 2^144804480 is an apocalyptic number.

144804480 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 144804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235301760).

144804480 is an abundant number, since it is smaller than the sum of its proper divisors (325799040).

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

144804480 is a wasteful number, since it uses less digits than its factorization.

144804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 144804480 is about 12033.4733140519. The cubic root of 144804480 is about 525.1225473561.

The spelling of 144804480 in words is "one hundred forty-four million, eight hundred four thousand, four hundred eighty".