385608960 has 432 divisors, whose sum is σ = 1549679040. Its totient is φ = 87490560.

The previous prime is 385608959. The next prime is 385608967. The reversal of 385608960 is 69806583.

385608960 is a `hidden beast` number, since 3 + 8 + 560 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385608967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154151 + ... + 2154329.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2^385608960 is an apocalyptic number.

385608960 is a gapful number since it is divisible by the number (30) 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 385608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774839520).

385608960 is an abundant number, since it is smaller than the sum of its proper divisors (1164070080).

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

385608960 is a wasteful number, since it uses less digits than its factorization.

385608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 385608960 is about 19636.9284767247. The cubic root of 385608960 is about 727.8619872819.

The spelling of 385608960 in words is "three hundred eighty-five million, six hundred eight thousand, nine hundred sixty".