385024752 has 360 divisors, whose sum is σ = 1358413056. Its totient is φ = 105162624.

The previous prime is 385024747. The next prime is 385024753. The reversal of 385024752 is 257420583.

385024752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385024753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8191993 + ... + 8192039.

Almost surely, 2^385024752 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 385024752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679206528).

385024752 is an abundant number, since it is smaller than the sum of its proper divisors (973388304).

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

385024752 is a wasteful number, since it uses less digits than its factorization.

385024752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 385024752 is about 19622.0475995753. The cubic root of 385024752 is about 727.4942246327.

The spelling of 385024752 in words is "three hundred eighty-five million, twenty-four thousand, seven hundred fifty-two".