385917168 has 160 divisors (see below), whose sum is σ = 1250919936. Its totient is φ = 99800064.

The previous prime is 385917167. The next prime is 385917197. The reversal of 385917168 is 861719583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385917167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230671 + ... + 232337.

Almost surely, 2^385917168 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 385917168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625459968).

385917168 is an abundant number, since it is smaller than the sum of its proper divisors (865002768).

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

385917168 is a wasteful number, since it uses less digits than its factorization.

385917168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1745 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 385917168 is about 19644.7745723895. The cubic root of 385917168 is about 728.0558565201.

The spelling of 385917168 in words is "three hundred eighty-five million, nine hundred seventeen thousand, one hundred sixty-eight".