384735260 has 216 divisors, whose sum is σ = 1072473696. Its totient is φ = 115315200.

The previous prime is 384735227. The next prime is 384735289. The reversal of 384735260 is 62537483.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809210 + ... + 3809310.

It is an arithmetic number, because the mean of its divisors is an integer number (4965156).

Almost surely, 2^384735260 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 384735260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536236848).

384735260 is an abundant number, since it is smaller than the sum of its proper divisors (687738436).

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

384735260 is a wasteful number, since it uses less digits than its factorization.

384735260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 384735260 is about 19614.6695103435. The cubic root of 384735260 is about 727.3118497231.

The spelling of 384735260 in words is "three hundred eighty-four million, seven hundred thirty-five thousand, two hundred sixty".