385852320 has 288 divisors, whose sum is σ = 1523733120. Its totient is φ = 87091200.

The previous prime is 385852307. The next prime is 385852333. The reversal of 385852320 is 23258583.

385852320 is a `hidden beast` number, since 38 + 585 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (385852307) and next prime (385852333).

It is a tau number, because it is divible by the number of its divisors (288).

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, 1017891 + ... + 1018269.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^385852320 is an apocalyptic number.

385852320 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 385852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761866560).

385852320 is an abundant number, since it is smaller than the sum of its proper divisors (1137880800).

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

385852320 is a wasteful number, since it uses less digits than its factorization.

385852320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 385852320 is about 19643.1239877979. The cubic root of 385852320 is about 728.0150743568.

The spelling of 385852320 in words is "three hundred eighty-five million, eight hundred fifty-two thousand, three hundred twenty".