385915392 has 120 divisors (see below), whose sum is σ = 1127489220. Its totient is φ = 127057920.

The previous prime is 385915391. The next prime is 385915421. The reversal of 385915392 is 293519583.

385915392 is a `hidden beast` number, since 3 + 8 + 591 + 53 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 381655296 + 4260096 = 19536^2 + 2064^2 .

It is not an unprimeable number, because it can be changed into a prime (385915391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409642 + ... + 410582.

Almost surely, 2^385915392 is an apocalyptic number.

385915392 is a gapful number since it is divisible by the number (32) 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 385915392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563744610).

385915392 is an abundant number, since it is smaller than the sum of its proper divisors (741573828).

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

385915392 is an equidigital number, since it uses as much as digits as its factorization.

385915392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1035 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 385915392 is about 19644.7293694772. The cubic root of 385915392 is about 728.0547396749.

The spelling of 385915392 in words is "three hundred eighty-five million, nine hundred fifteen thousand, three hundred ninety-two".