384431540 has 96 divisors (see below), whose sum is σ = 894136320. Its totient is φ = 138184704.

The previous prime is 384431521. The next prime is 384431543. The reversal of 384431540 is 45134483.

It is a junction number, because it is equal to n+sod(n) for n = 384431497 and 384431506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384431543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252067 + ... + 1252373.

It is an arithmetic number, because the mean of its divisors is an integer number (9313920).

Almost surely, 2^384431540 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 384431540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447068160).

384431540 is an abundant number, since it is smaller than the sum of its proper divisors (509704780).

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

384431540 is a wasteful number, since it uses less digits than its factorization.

384431540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 384431540 is about 19606.9258171698. The cubic root of 384431540 is about 727.1204130554.

The spelling of 384431540 in words is "three hundred eighty-four million, four hundred thirty-one thousand, five hundred forty".