384131440 has 120 divisors (see below), whose sum is σ = 1122115680. Its totient is φ = 119708160.

The previous prime is 384131437. The next prime is 384131453. The reversal of 384131440 is 44131483.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 384131399 and 384131408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64926 + ... + 70594.

It is an arithmetic number, because the mean of its divisors is an integer number (9350964).

Almost surely, 2^384131440 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 384131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561057840).

384131440 is an abundant number, since it is smaller than the sum of its proper divisors (737984240).

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

384131440 is a wasteful number, since it uses less digits than its factorization.

384131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 384131440 is about 19599.2714150297. The cubic root of 384131440 is about 726.9311590373.

The spelling of 384131440 in words is "three hundred eighty-four million, one hundred thirty-one thousand, four hundred forty".