384480144 has 120 divisors (see below), whose sum is σ = 1161800640. Its totient is φ = 118331136.

The previous prime is 384480137. The next prime is 384480149. The reversal of 384480144 is 441084483.

384480144 is a `hidden beast` number, since 38 + 4 + 480 + 144 = 666.

It is a super-2 number, since 2×384480144² = 295649962260521472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 384480099 and 384480108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384480149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94047 + ... + 98049.

It is an arithmetic number, because the mean of its divisors is an integer number (9681672).

Almost surely, 2^384480144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384480144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580900320).

384480144 is an abundant number, since it is smaller than the sum of its proper divisors (777320496).

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

384480144 is a wasteful number, since it uses less digits than its factorization.

384480144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 384480144 is about 19608.1652379819. The cubic root of 384480144 is about 727.1510552440.

The spelling of 384480144 in words is "three hundred eighty-four million, four hundred eighty thousand, one hundred forty-four".