385705152 has 196 divisors, whose sum is σ = 1312596816. Its totient is φ = 110108160.

The previous prime is 385705127. The next prime is 385705153. The reversal of 385705152 is 251507583.

385705152 is a `hidden beast` number, since 38 + 570 + 5 + 1 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (385705153) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326002 + ... + 327182.

Almost surely, 2^385705152 is an apocalyptic number.

385705152 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 385705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656298408).

385705152 is an abundant number, since it is smaller than the sum of its proper divisors (926891664).

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

385705152 is an equidigital number, since it uses as much as digits as its factorization.

385705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 385705152 is about 19639.3775868789. The cubic root of 385705152 is about 727.9225051351.

The spelling of 385705152 in words is "three hundred eighty-five million, seven hundred five thousand, one hundred fifty-two".