385309260 has 144 divisors (see below), whose sum is σ = 1341377856. Its totient is φ = 87699456.

The previous prime is 385309219. The next prime is 385309279. The reversal of 385309260 is 62903583.

385309260 is a `hidden beast` number, since 38 + 530 + 92 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393892 + ... + 394868.

It is an arithmetic number, because the mean of its divisors is an integer number (9315124).

Almost surely, 2^385309260 is an apocalyptic number.

385309260 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 385309260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670688928).

385309260 is an abundant number, since it is smaller than the sum of its proper divisors (956068596).

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

385309260 is a wasteful number, since it uses less digits than its factorization.

385309260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 385309260 is about 19629.2959629224. The cubic root of 385309260 is about 727.6733706622.

The spelling of 385309260 in words is "three hundred eighty-five million, three hundred nine thousand, two hundred sixty".