385305600 has 264 divisors, whose sum is σ = 1324982160. Its totient is φ = 98631680.

The previous prime is 385305587. The next prime is 385305611. The reversal of 385305600 is 6503583.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2227114 + ... + 2227286.

Almost surely, 2^385305600 is an apocalyptic number.

385305600 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 385305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662491080).

385305600 is an abundant number, since it is smaller than the sum of its proper divisors (939676560).

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

385305600 is a wasteful number, since it uses less digits than its factorization.

385305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 385305600 is about 19629.2027347012. The cubic root of 385305600 is about 727.6710666316.

The spelling of 385305600 in words is "three hundred eighty-five million, three hundred five thousand, six hundred".