385906752 has 378 divisors, whose sum is σ = 1426850334. Its totient is φ = 99348480.

The previous prime is 385906751. The next prime is 385906769. The reversal of 385906752 is 257609583.

It is a happy number.

385906752 is a `hidden beast` number, since 3 + 8 + 590 + 6 + 7 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218566656 + 167340096 = 14784^2 + 12936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 385906698 and 385906707.

It is not an unprimeable number, because it can be changed into a prime (385906751) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3415048 + ... + 3415160.

Almost surely, 2^385906752 is an apocalyptic number.

385906752 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 385906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713425167).

385906752 is an abundant number, since it is smaller than the sum of its proper divisors (1040943582).

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

385906752 is a wasteful number, since it uses less digits than its factorization.

385906752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 385906752 is about 19644.5094619336. The cubic root of 385906752 is about 728.0493063252.

The spelling of 385906752 in words is "three hundred eighty-five million, nine hundred six thousand, seven hundred fifty-two".