384293130 has 64 divisors (see below), whose sum is σ = 1005903360. Its totient is φ = 93390336.

The previous prime is 384293111. The next prime is 384293153. The reversal of 384293130 is 31392483.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 384293091 and 384293100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24574 + ... + 37046.

It is an arithmetic number, because the mean of its divisors is an integer number (15717240).

Almost surely, 2^384293130 is an apocalyptic number.

384293130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384293130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

384293130 is an abundant number, since it is smaller than the sum of its proper divisors (621610230).

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

384293130 is a wasteful number, since it uses less digits than its factorization.

384293130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 384293130 is about 19603.3958792858. The cubic root of 384293130 is about 727.0331388973.

The spelling of 384293130 in words is "three hundred eighty-four million, two hundred ninety-three thousand, one hundred thirty".