384990144 has 112 divisors (see below), whose sum is σ = 1270016256. Its totient is φ = 99993600.

The previous prime is 384990127. The next prime is 384990149. The reversal of 384990144 is 441099483.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 384990096 and 384990105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384990149) 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, 1764 + ... + 27804.

Almost surely, 2^384990144 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 384990144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635008128).

384990144 is an abundant number, since it is smaller than the sum of its proper divisors (885026112).

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

384990144 is a wasteful number, since it uses less digits than its factorization.

384990144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26074 (or 26064 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 384990144 is about 19621.1657146052. The cubic root of 384990144 is about 727.4724270085.

It can be divided in two parts, 384 and 990144, that added together give a triangular number (990528 = T₁₄₀₇).

The spelling of 384990144 in words is "three hundred eighty-four million, nine hundred ninety thousand, one hundred forty-four".