384795240 has 64 divisors (see below), whose sum is σ = 1157837760. Its totient is φ = 102305280.

The previous prime is 384795199. The next prime is 384795247. The reversal of 384795240 is 42597483.

It is a junction number, because it is equal to n+sod(n) for n = 384795192 and 384795201.

It is not an unprimeable number, because it can be changed into a prime (384795247) 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, 37020 + ... + 46260.

It is an arithmetic number, because the mean of its divisors is an integer number (18091215).

Almost surely, 2^384795240 is an apocalyptic number.

384795240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384795240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578918880).

384795240 is an abundant number, since it is smaller than the sum of its proper divisors (773042520).

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

384795240 is a wasteful number, since it uses less digits than its factorization.

384795240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 384795240 is about 19616.1984084583. The cubic root of 384795240 is about 727.3496435885.

The spelling of 384795240 in words is "three hundred eighty-four million, seven hundred ninety-five thousand, two hundred forty".